derive and apply a formula for the volume of a right prism
The Truit family rented the cabin shown in the shape of a triangular prism. The cabin is 30 feet deep. What is its volume?
25 ft
and
15 ft

Answers

Answer 1

The formula for the volume of a right prism is given by:

Volume = Base area x Height

In this case, the base of the triangular prism is a triangle, and its area can be calculated using the formula:

Base area = (1/2) x Base x Height

where Base and Height are the dimensions of the triangular base.

So, to find the volume of the cabin, we can use the following steps:

Calculate the area of the triangular base: Base area = (1/2) x Base x Height Base area = (1/2) x 25 ft x 15 ft Base area = 187.5 sq ft

Multiply the area of the base by the height of the prism: Volume = Base area x Height Volume = 187.5 sq ft x 30 ft Volume = 5625 cubic feet

Therefore, the volume of the cabin is 5625 cubic feet.


Related Questions

Lauren has a bag that contains strawberry chews, lemon chews, and peach chews. She performs an experiment. Lauren randomly removes a chew from the bag, records the result, and returns the chew to the bag. Lauren performs the experiment 45 times. The results are shown below: A strawberry chew was selected 13 times. A lemon chew was selected 11 times. A peach chew was selected 21 times. Based on these results, express the probability that the next chew Lauren removes from the bag will be a flavor other than peach as a fraction in simplest form.

Answers

The total number of chews Lauren removed from the bag is 45, and the number of times she selected a peach chew is 21. Therefore, the number of times Lauren removed a flavor other than peach from the bag is 45 - 21 = 24.

The probability that the next chew Lauren removes from the bag will be a flavor other than peach can be expressed as the ratio of the number of times Lauren removed a flavor other than peach to the total number of times she removed a chew from the bag. Thus, the probability is:

24/45

To simplify this fraction, we can divide both the numerator and the denominator by 3:

24/45 = (83)/(153) = 8/15

Therefore, the probability that the next chew Lauren removes from the bag will be a flavor other than peach is 8/15.

Answer:

24/45 or 8/15

Step-by-step explanation:

The probability that the next chew Lauren removes from the bag will be a flavor other than peach is 24/45. This is because there are 24 chews that are not peach (13 strawberry chews + 11 lemon chews) and 45 total chews. Therefore, the probability is 24/45 or 8/15 in simplest form.

May someone help me please?

Answers

The answer is the 4th option: The length of 5 inches should be counted 1 time.

The length of 5 inside the shape should not be counted because you are only finding the perimeter. This would then make it to only count with one 5.
The answer is option D the length of 5 inches should be counted one time

Brainliest IF Correct!

Use the graph below to answer the question.

Determine the coordinates of triangle A′B′C′ if triangle ABC is rotated 90° clockwise.

A′(−2, 2), B′(3, −3), C′(−5, −2)
A′(−2, −2), B′(−3, −3), C′(−5, −2)
A′(2, −2), B′(−3, 3), C′(−2, −5)
A′(−2, 2), B′(3, −3), C′(−2, −5)

Answers

Answer:

1.A′(−2, 2), B′(3, −3), C′(−5, −2)

Step-by-step explanation:

Answer: A′(−2, 2), B′(3, −3), C′(−5, −2)

Step-by-step explanation: I thinks its that

Hope it helped let me know if I got it right :D

What is the measurement of N?
A) 167
B) 180
C) 161
D) 176

Answers

180 - 19 = 161
180 is the mesure of all flat angles so yeah

Answer: C. 161

Step-by-step explanation:

Since the given angle is a straight angle measuring 180 degrees, we can simply subtract 19 from it to get the value of N.

3743x902=?
BEST ANSWER AND EXPLANATION GETS BRAINLIEST

Answers

Answer:

The result of multiplying 3743 and 902 is 3,377,426.

Step-by-step explanation:

Certainly!

To multiply two numbers, you need to follow these steps:

Write down the two numbers one above the other, with the rightmost digit of the second number under the rightmost digit of the first number.

3 7 4 3

× 9 0 2

--------

Multiply the rightmost digit of the second number by each digit of the first number, starting from the rightmost digit, and write down the results under each digit of the second number.

3 7 4 3

× 9 0 2

--------

6

18

27

In this case, 2 (the rightmost digit of the second number) is multiplied by each digit of the first number (starting from the rightmost digit), resulting in 6 (2 x 3), 18 (2 x 4), 27 (2 x 7).

Add up the results from step 2 and write down the total under the line.

3 7 4 3

× 9 0 2

--------

6

18

27

--------

3 3 7 7

4. Move the second number one place to the left and repeat steps 2-3, but this time write the results one place to the left of the previous results.

3 7 4 3

× 9 0 2

--------

6

18

27

--------

3 3 7 7

2 9 9 1

In this case, we multiply the second digit of the second number (0) by each digit of the first number, and write the results one place to the left of the previous results.

Repeat step 4 until you have multiplied each digit of the second number by each digit of the first number.

3 7 4 3

× 9 0 2

--------

6

18

27

--------

3 3 7 7

2 9 9 1

--------

3 3 7 7 4 2 6

In this case, we only needed to repeat step 4 once, as the second number had only three digits.

Therefore, the result of multiplying 3743 and 902 is 3,377,426.

(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)

Answer: 3,376,186
Explanation:

HELPPPPPPPPPPPP I NEED HELLP

Answers

He can make 18/5 servings or 3 3/5 servings
3/ (5/6)
3/1 • 6/5
=18/5
3 3/5 servings

Please answer the question

Answers

Answer:

hi

Step-by-step explanation:

i dont have an answer sorry but i just wanted to say im struggling w u (i'm doing delta mathhhh)

Basically just increasing the shape by 2 so if you have (2,2) multiply by 2 and its going to br (4,4)

Bling Bling's booth has a birthstone ring you would love to buy
They
by the centimeter. The birthstone measures 6 millimeters at its widest point.
How many centimeters wide is the ring?
Solve the problem:
Solution

Answers

can you link a picture please? there’s some missing information (i believe) as the question doesn’t make sense.
0.6 centimeters
6/10=0.6

5 3/4 - 1 5/12
PLS HELP THIS IS DUE TODAY!!!

Answers

Step-by-step explanation:

5 3/4= 23/4

1 5/12= 17/12

23/4 = 69/12

69/12-17/12=52/12

as a whole fraction= 4 4/12

Answer:

4 4/12 Or if you need it simplified 4 1/3

Step-by-step explanation:

5 3/4 = 23/4= 69/12

1 5/12= 17/12

69/12 - 17/12 = 52/12

52/12 = 4 4/12

4 4/12 = 4 1/3

please help I cant get the answer ​

Answers

Answer:

125 degrees

Step-by-step explanation:

the total is 180 degrees and it gives us 55. 180-55 is 125

Answer:125

Step-by-step explanation: 180 is the angle of a straight line. 180-55=125

PLEASE HELPP ASAP
Katherine bought 312 pounds of oranges for $1.45 per pound, as well as 434 pounds of potatoes that cost $1.69 for 2 pounds. She gives the cashier a $10.00 bill.

Which equation represents the situation if x is the amount of change in dollars Katherine should receive?

A. 3 1/2(1.45)+4 3/4(1.69)+x=10
B. (3 1/2+4 3/4)⋅(1.45+1.69)+x=10
C. 3 1/2(1.45)+4 3/4(1.692)+x=10
D. 3 1/2(1.45)+4 3/4(1.692)−x=10

Answers

The answer is b I think
I’m pretty sure it’s c

Use the figure.

A circle has a radius labeled four feet.

Find the area to the nearest hundredth. Use 3.14
for π
.

Answers

The area of the circle that has a radius of 4 feet will be 50.2 square feet.

What is the area of the circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of the circle is 4 feet. Then the area of the circle is calculated as,

A = π x (4)²

Simplify the equation, then the area of the circle is calculated as,

A = π x (4)²

A = 3.14 x 16

A = 50.2 square feet

The area of the circle that has a radius of 4 feet will be 50.2 square feet.

More about the area of a circle link is given below.

https://brainly.com/question/11952845

Answer: hope this helps ♡

The area = 12.56 feet

Step-by-step explanation:

π = 3.14           r = 4ft

A = π × r²

A = 3.14 × r²

A = 3.14 × 4² ft

A = 3.14 × 16ft

A = 12.56ft

An online ticket broker charges a flat service fee of $6.50 per ticket sold.

a. If Ava buys a concert ticket priced at $36, what will be her total cost?

Answer: ???

b. Write an equation to represent the relationship between these variables. Let p represent the price of the ticket, and let t represent the total cost.

Answer:???

c. Use your equation to calculate the total cost for a concert ticket priced at $23.95.

Answer:???

d. Use your equation to calculate the price of a concert ticket if the total cost Max paid is $65.49.

Answer:???

Answers

Answer:

a. $42.50

b. p + $6.50 = t. or p = t - $6.50

c. $17.45

d. $58.99

Step-by-step explanation:

a. $36 + $6.50 = $42.50

c. $23.95 - $6.50 = $ $17.95

d. $65.49 - $6.50 = $58.99

Alex bikes to work and then back home four days a week, which is 65 miles total each week. How many kilometers does he bike each day that he bikes to work? Round your answer to the nearest tenth of a kilometer if needed. (Hint: 1 mi ≈ 1.609 km)

161.6 km
26.1 km
40.4 km
104.6 km

Answers

Answer:26.1

Step-by-step explanation:

someone plsssss help!

Answers

Answer:

Orange juice has 125mg of Vitamin C per serving

Cranberry juice has 90mg of Vitamin C per serving

Step-by-step explanation:

Orange Juice: 750mg ÷ 6 = 125mg

Cranberry juice: 135 ÷ 1.5 = 90mg

HELPPPP TY IF U HELP ME

Answers

Answer:

45

Step-by-step explanation:

If you simplify the fraction 45/5 it equals 9

the answer is 45 you have to flip the fraction and multiply

puzzle five percent digital escape answer key
I NEED HELP ASAP!!

Answers

1. 70% x 49 = 34.30 - H
2. 20% x 8 = 1.60 - B
3. 112.75 x 20% = 22.55 + 112.75 = 135.30 - I
4. 55% x 15 = 8.25 - G


HBIG


(I hope this is right) (If you need an explanation, let me know!)

Deon won a charity raffle. His prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.

Answers

Probability of each item:
Ring - 4/9
Camera - 3/9 or 1/3
Headset - 2/9

A family pass to the amusement park costs $54. Using Distributive Property, write an expression that can be used to find the cost in dollars of 8 family passes.

Answers

1family:$54

8family:$54 multiplied by 8

Total cost for 8 family passes at $54 each is $432

1.) A, B and C are collinear points with coordinates -4, 2 and -7 respectively. Determine which point is between the other two.

2.) A, B and C are collinear points with AB = 5, BC = 9 and AC = 4. Which is between the other two?

3.) If the coordinates of A and B are -5 and 7 respectively and C is the midpoint of line AB, find the CA. What is the coordinate of C?

4.) In ∠ABC, ray BD is the angle bisector of ∠ABC. If the m∠ABD = 2x + 5 and m∠DBC = 5x - 10, find:
a. value of x
b. m∠ABD
c. m∠ABC​

Answers

The point between the other two is point A

2. The point between the other two is point A3. The coordinate of C is 14. x = 5, ABD = 15 and ABC = 30

The point between the other two.

Arranging the given points in order, we get:

C (-7) < A (-4) < B (2)

We can conclude that, the point A is between points C and B.

The point between the other two.

Since A, B, and C are collinear, we have:

BA + AC = BC

Substituting the given values, we get:

5 + 4 = 9

9 = 9 --- true

We can conclude that, the point A is between points C and B.

Midpoint of AB

Given that

A = -5

B = 7

We have

Midpoint C = (7 - 5)/2

Midpoint C = 1

The value of x and the angles

Here, we have

Bisector BD

This means that

2x + 5 = 5x - 10

Evaluate

3x = 15

x = 5

So, we have

ABD = 2(5) + 5

ABD = 15

Then, we have

ABC = 2 * 15

ABC = 30

This means that the measure of angle ABC is 30 degrees

Read more about angles at

https://brainly.com/question/28293784

#SPJ1

Help me! please this needs to be done

Answers

Answer:

54+t

Step-by-step explanation:

54-t+2t

-t+2t= +t

54+t

557 is the awesome time to put it in the answer

Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% o. He has to pay 5% sales tax on the sale price of the bicycle. To represent his total cost, Leon writes the expression: 1.05(x – 0.2x) Which expression also represents Leon’s total cost?

YA'LL IM SLOW SOO DO UR BIG ONE

Answers

Answer:

Step-by-step explanation:

O A_ 0.79x B. 0.84x C. 0.85x D. 0.21x' hope this hint helps.

Kay has a shed in her backyard that needs to be painted before she stores her tools in it. She has enough paint to cover 200 square feet of material. How much paint will Kay need to paint the shed? Will she have enough paint?

Answers

Answer:

i this its no

Step-by-step explanation:

she will need 217 square feet of paint

i think

Answer:

enough

Step-by-step explanation:

she will paint 114 square feet

Rectangle PQRS is reflected across the y-axis to form Rectangle What is the length of line segment Q' R'?

Answers

Answer:

3

Step-by-step explanation:

reflection keeps the same shape and size of the rectangle. length stays the same, position changes

PLEASE PLEASE HELP ME IM GOING TO FAIL MY GRADE!!!!!

In a chemistry lab, there are 9.52 grams of a powdered substance in a container. Max needs to place an equal amount of the powdered substance into each of 3 glass plates. The amount of powdered substance he places into each glass plate is 1.98 grams.

Max estimates that there are about 4.5 grams of the powdered substance remaining in the container. Is his statement reasonable?
A.
This is not reasonable because 9.52 grams can be rounded to 9.5 grams and 1.98 grams can be rounded to 2 grams. Since 9.5 − 3(2) = 3.5, there would be about 3.5 grams of the powdered substance remaining in the container.
B.
This is reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 2.5 grams. Since 9 − 3(2.5) = 1.5, there would be about 1.5 grams of the powdered substance remaining in the container.
C.
This is reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 1.5 grams. Since 9 − 3(1.5) = 4.5, there would be about 4.5 grams of the powdered substance remaining in the container.
D.
This is not reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 1 gram. Since 9 − 3(1) = 6, there would be about 6 grams of the powdered substance remaining in the container.

Answers

Answer:

Step-by-step explanation:

it is A because I did this before hope u get a A+

The answer is A because if you really think about it and read it it’s correct

PLEASE HELP!! AND EXPLAIN

6. What is the area of this figure?

Answers

Answer:

60 cm²

Step-by-step explanation:

We can split this figure into two simpler polygons (a triangle and rectangle), solve for the area of each one, then add their areas together to get the total area of the figure.

Step 1: Rectangle

The easiest shape to recognize is the large rectangle in the lower half of the figure. We can find its area using the formula:

[tex]A = l \cdot w[/tex],

where [tex]l[/tex] is the rectangle's length and [tex]w[/tex] is its width.

[tex]A = 12 \text{ cm} \cdot 4\text{ cm}[/tex]

[tex]A = 48 \text{ cm}^2[/tex]

So, the area of the rectangle is 48 cm².

Step 2: Triangle

We can see there is a triangle in the top half of the figure. The area of a triangle is defined as:

[tex]A = \dfrac{1}{2} \cdot b \cdot h[/tex],

where [tex]b[/tex] is the length of the triangle's base and [tex]h[/tex] is its height.

The trick here is to find out the triangle's base and height measurements.

We can solve for the height by subtracting the height of the bottom half (height of the rectangle) from the total height.

[tex]h = 8 \text{ cm} - 4 \text{ cm}[/tex]

[tex]h = 4 \text{ cm}[/tex]

We can solve for the width by subtracting the lengths next to the triangle from the total width of the figure.

[tex]w = 12 \text{ cm} - 3\text{ cm} - 3\text{ cm}[/tex]

[tex]w = 6 \text{ cm}^2[/tex]

Now, we can plug these values into the area formula:

[tex]A = \dfrac{1}{2} \cdot 6\text{ cm} \cdot 4\text{ cm}[/tex]

[tex]A = 3\text{ cm} \cdot 4\text{ cm}[/tex]

[tex]A = 12\text{ cm}^2[/tex]

So, the area of the triangle is 12 cm².

Step 3: Total Area

Finally, we can solve for the total area of the figure by adding the area of the rectangle and the area of the triangle.

[tex]A = 48 \text{ cm}^2 + 12\text{ cm}^2[/tex]

[tex]\boxed{A = 60\text{ cm}^2}[/tex]

The total area of the figure is 60 cm².

D. 60cm2
Solution: 48+12=60

Please help as quick as you can!

Answers

Tiffany is correct because she is

how do you find the surface area for a triangular prism step by step please.

Answers

Answer:

   Find the area of the two triangular bases:

       Measure the base and height of one of the triangular bases.

       Multiply the base by the height, and then divide the result by 2 to get the area.

       Repeat this process for the other triangular base.

   Find the perimeter of the triangular base:

       Measure the three sides of the triangular base.

       Add the three sides together to get the perimeter.

   Find the lateral area of the prism:

       Multiply the perimeter of the triangular base by the height of the prism.

   Add the area of the two triangular bases and the lateral area of the prism to get the total surface area.

Here is an example problem to help illustrate these steps:

Example:

Find the surface area of a triangular prism with a triangular base that has a base of 4 cm, a height of 6 cm, and a height of 10 cm.

Solution:

Step 1: Find the area of the two triangular bases.

   Area of one triangular base = (4 cm x 6 cm) / 2 = 12 cm^2

   Area of the other triangular base = (4 cm x 6 cm) / 2 = 12 cm^2

Step 2: Find the perimeter of the triangular base.

   Perimeter of the triangular base = 4 cm + 5 cm + 6 cm = 15 cm

Step 3: Find the lateral area of the prism.

   Lateral area of the prism = Perimeter of the base x Height of the prism

   Lateral area of the prism = 15 cm x 10 cm = 150 cm^2

Step 4: Add the area of the two triangular bases and the lateral area of the prism.

   Total surface area = 2 x 12 cm^2 + 150 cm^2

   Total surface area = 174 cm^2

Therefore, the surface area of the triangular prism is 174 cm^2.

Answer:

Volume of Triangular Prism = ½ × b × h × lWhere b is the base length, h is the height of the triangle and l is the length between the triangular bases.

Step-by-step explanation:

Please Help!!! I will give brainlist if right!!!

Caleb bought a jacket for $52 and 3 shirts for $12 each. The sales tax is 4.5%. How much did Caleb spend for all of the items, including tax?

Round to the nearest cent (hundredth). Include the $ symbol

Answers

Answer:

Caleb spent $91.96 for all of the items, including tax.

Step-by-step explanation:

First, let's calculate the cost of the shirts:

3 shirts * $12 per shirt = $36

Now, let's add the cost of the jacket and the shirts together:

$52 + $36 = $88

Next, let's calculate the amount of sales tax Caleb has to pay:

$88 * 4.5% = $3.96

Finally, let's add the sales tax to the total cost:

$88 + $3.96 = $91.96

Therefore, Caleb spent $91.96 for all of the items, including tax.

Answer:

same as the other guy

Step-by-step explanation:

yall help me for 10 points thats crazyyyy

Answers

The volume is 36. When you use the formula l X w X h, you add in the numbers and you get 36. So that is the correct answer……
Can you send me the video video for me the other night and video of
Other Questions
which of the following statements about strong acids are true? select all that apply: the conjugate base of a strong acid has negligible acid-base properties. all strong acids have the same strength. they produce stable ions that have little tendency to accept a proton. they raise the ph of a solution by increasing the concentration of hydronium. Explain how the Magna Carta limited the Kings authority. (medieval Europe period) First answer gets brainliest when the mass of water that an iceberg displaces is equal to the mass of the iceberg, it floats. this is an example of group of answer choices upwelling. isostacy. tomography. gravity. Which one of the following is not part of your automobile operating costs?InsuranceTransaction feesParkingGas Suppose cluster sampling were being used to survey users of digital banking. 61% of the entire population of the United States uses some form of digital banking. Based on the table below, which city would be the best cluster to use for this survey? lysosomal membranes contain a proton pump that utilizes the energy of atp hydrolysis to pump protons out of the lysosome, thereby maintaining the lumen at low ph. true or false? Internal states that prompt inquisitive, stimulation-seeking, and exploratory behavior. with the end of the war, american society expected that the employment changes the war had brought for women would continue. (True or False) 2. About how many people are Muslim or practice Islam in the modern world? how would poisoning proton pumps impact anion uptake? lodine-131, a radioactive substance that is effective in locating brain tumors, has a half-life of only eight days. Ahospital purchased 16 grams of the substance but had to wait six days before it could be used. How much of thesubstance was left after six days?...The amount of substance left after six days was9.(Round the final answer to three decimal places as needed. Round all intermediate values to seven decimal places asneeded.) A 100 kg crate is attached to a rope wrapped around the inner disk (R1) as shown. A person pulls on another rope wrapped around the outer disk (R2) with force F to lift the crate. What force F is needed to lift the crate? If the ratio of the radius is R1/R2 = 1/5 5. At a carnival cotton candy and hot dogs are two different prices. Adam buys one cotton candy and one hot dog for $5. Shannon buys 3 cotton candies and one hot dog for $11. Howmuch is one hot dog? How much is one cotton candy? what is the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period? an increase in the total cost from producing one more unit of output is the _____ 3) Are these proper sentences? If not, write a proper sentence instead:a) I enjoyed my holiday.b) The sea was warm.c) To the beach. Among all right circular cones with a slant height of , what are the dimensions (radius and height) that maximize the volume of the cone? The slant height of a cone is the distance from the outer edge of the base to the vertex 5. people with obsessive-compulsive disorder may report feeling less anxious after they clean, which causes them to want to clean again the next time they feel anxious. this demonstrates the principle of a. stimulus generalization. b. stimulus discrimination. c. punishment. d. spontaneous recovery. e. reinforceme According to the Bureau of Labor Statistics, massage therapists held about 154,000 jobs in 2010. Why does this statistic fail to accurately depict the job landscape for the field?it doesn't take into account all venues for massagemost of these workers were self-employedmany massage therapists work under the tablethe Bureau of Labor Statistics is an unreliable source you just started a new job at a media production company. on the first day, kumar drops off a new 27 inch monitor in your office and recommends you use the displayport connector. why would he make such a recommendation?