Manuel is packing smaller boxes inside a large box. The
smaller boxes are cube-shaped and measure 6 inches
along each edge. The large box is cube-shaped and
measures 24 inches along each edge. How many
smaller boxes can Manuel fit in the large box?

Answers

Answer 1

The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.

What is the Volume of a Cube?

Volume of a cube = a³, where a is the edge length of the cube.

Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³

Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³

Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.

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Related Questions

What is the area of a rectangular field which is 25 meters long and 15 meters wide

Answers

Answer:

375 m

Step-by-step explanation:

25 x 15 =

375

375 that should be the anwser

is pi to the second power rational, real, irrational, integer, whole, or natural

Answers

Answer:

(pi) is irrational ...........

PLEASE HELP!!! I'LL MARK BRAINLIEST!!! PLEASE HELP!!!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Solve the system of equations below using elimination.
4x + 4y = -37
2x + 5y = -17
Part A: What is the x-value?
Part B: What is the y-value?
Part C: In one paragraph, using your own words, explain the work you did to find the answers to parts A and B.

Answers

Answer:

Part A: x = -39/4 or -9.75

Part B: y = 1/2 or .5

Step-by-step explanation:

Part C: Multiply the bottom equation by 2, obtaining 4x + 10y = -34. Subtract the top equation (4x + 4y = -37) from this equation, obtaining 6y = 3. Solving this, y = 1/2

(y = .5). Substitute this value of y into the equation 4x + 4y = -37, and then solve for x:

4x + 4(1/2) = -37

4x + 2 = -37

4x = -39, so x = -39/4 or -9.75

The average vehicle releases 1.39grams of NOx per mile driven. If a vehicle is driven 22,000miles per year for 15 years, how much NOx does that vehicle release

Answers

The quantity of NOx the vehicle will release in 15 years for running 22000miles each year will be 458700 grams.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number.

here in the question we will multiply the Nox released by the vehicle per year to 15 years.

Given that: Vehicle releases 1.39 Nox per mile

Now if vehicle is running 22000 miles per year so the Nox released per year will be =22000x1.39=30580 grams per year

For 15 years the NOx released by the vehicle will be = 30580x15=458700 grams

Hence the quantity of NOx the vehicle will release in 15 years for running 22000miles each year will be 458700 grams.

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Select the number line that represents the opposite of the opposite of 7.
A.
B.
C.
D.

Answers

Answer: D

Step-by-step explanation: i took a course on this

The permieter of a square is 52 cm. Calculate the area of the square

Answers

Answer:

169 cm²

Step-by-step explanation:

Since it’s a square, the side lengths will all be equalDivide 52 by 4This gives you a side length of 1313² is 169

what is the area of the circle in terms of PI?

Answers

To find the area of the circle:

   ⇒ must know the area's formula ⇒ [tex]\pi r^2[/tex]

r --> length of radius

Let's consider the information given

diameter's length is 7 in

         ⇒ the radius' length is half of the diameter

             ⇒ thus the radius' length is 3.5 in

Let's calculate the area:

    [tex]Area=\pi r^2=\pi (3.5^2)=12.25\pi in^2[/tex]

The problem asks us to leave the answer in terms of '[tex]\pi[/tex]' which means that we won't multiply '[tex]\pi[/tex]' to the final answer, but leave it there,

 

Answer: 12.25[tex]\pi in^2[/tex] or Choice (B)

Hope that helps!

What's the volume of a rectangle whose area is 63ft and length is 14ft?

Answers

Answer:

the answer is 4.5

Step-by-step explanation:

63 = 14

divide 14 on both sides

14/14 cancels out

63/14 = 4.5

The rectangular prism below represents a box that is made completely out of
cardboard. Find the total square inches of cardboard made up by the box.

Answers

Answer:

I attached the answer


Finn earns $10.50 per hour at his job. He is saving up to buy a $300.00 video game system. How many hours will Finn need to work in order to be able to afford the
video game system? Let x represent the number of hours Finn works.
A. 10.50 + x S 300.00
B.
10.50x 2 300.00
C. 10.50 + x 2 300.00
D.
10.50x S 300.00

Answers

Answer:

The answer is D 10.50x =300.000

Step-by-step explanation:

I figured this out by knowing that to find the time you need to divide the total by the given made per hour which is 10.50 and he would make a total of $300 after about 28 hours so it would be 10.50 x being 28 = 300 dollars which gives the equation 10.50x = 300.000

If u +6=3 and v-4 = -2, what is the value of u + v?
a) 10
b) -2
c) 3
O a)
O b)
O c)
O d)
d) -1

Answers

Answer:

-5 is the answer to the question

helppppppppppppppppp

Answers

Answer:

54 degrees

Step-by-step explanation:

21/36 <- divide 21 by 36 first

=0.58333

Around 54 degrees

what’s 110 decreased by 30%

Answers

110*30/100 = 33 as it is decreased so 110-33 so 77
Hence, 77

Answer:

110 decreased by 30% is 77.

Step-by-step explanation:

To do this, what we do is simply take 30% of 110 and subtract it from 110.

30% of 110. A trick to easily figure this out is multipling 110 by 30 and dividing by 100.

110*30 = 3300

3300 / 100 = 33

110 - 33 = 77

110 decreased by 30% is 77.

Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowers to yellow flowers is 1 : 2, the ratio of yellow flowers to red flowers is 3 : 4 and the ratio of red flowers to white flowers is 5 : 6. How many flowers are there in Flori’s shop?

Answers

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.

How to determine the quantity of flowers in a flower shop

Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - p, yellow - y, red - r, white - w), each variable represents positive integers. Now we proceed to construct the system of equation that describes the situation:

z < 150     (1)

p + y + r + w = z    (2)

p = y/2     (3)

y = 3 · r/4     (4)

r = 5 · w/6     (5)

By (1) and (3) in (2):

y/2 + y + r + w < 150

By (4):

3 · y/2 + r + w < 150

9 · r/8 + r + w < 150

17 · r/8 + w < 150

By (5):

85 · w/48 + w < 150

133 · w/48 < 150

133 · w < 7200

w < 54.135

Now we assume that w = 48, then we have the following solution for the flower shop: r = 40, y = 30, p = 15.

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. [tex]\blacksquare[/tex]

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Helpppp plssss!!!!!!

Answers

It's 30 degrees

Step-by-step explanation:

Hope this helps!

How can you find an output number when you know an input number?

Answers

Answer:

You have to add 1.5 to each input number to find its corresponding output number.

6. Find the area of the shaded region of the circle. The
radius is given in inches.

Answers

Answer:

75.4

Step-by-step explanation:

S = r^2 * alpha * pi

where alpha is central angle = 135

S = 8^2 * 135/360 * pi = 12 * pi ~ 75.4

A supervisor finds the mean number of miles that the employees in a department live from work. he finds x overbar = 29 and s = 3.6. which mileage is within a z-score of 1.5?

Answers

The mileage that the supervisor will achieve that is within a z-score of 1.5 is; 23.6

How to find the z-score?

Formula for z-score in statistics is;

z = (x' - μ)/s

Where;

x' is sample mean

μ is population mean

s is sample standard deviation

We are given;

x' = 29

Standard deviation; s = 3.6

z = 1.5

Thus;

1.5 = (29 - μ)/3.6

μ = 29 - (1.5 × 3.6)

μ = 23.6

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What is 6 divided by 22.02

Answers

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

0.27

Answer:

0.27

0.27247956403

Step-by-step explanation:

hope this helps

hey guyshey guyshey guyshey guyshey guyshey guyshey guyshey guysvhey guyshey guyshey guyshey guyshey guyshey guysvvvhey guyshey guysvvhey guysvvvvvhey guyshey guysvhey guysvhey guys

Answers

Answer:

uhhhh

Step-by-step explanation: hi

What is the quotient of 1/2 and 7/16

Answers

[tex]\dfrac 12 \div \dfrac 7{16}\\\\\\=\dfrac 12 \times \dfrac{16}7\\\\\\=\dfrac{16}{14}\\\\\\=\dfrac{8\times 2}{7 \times 2}\\\\\\=\dfrac 87[/tex]

What iS the function rule for the line?

Answers

Answer:

It’s b

Step-by-step explanation:

Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: 8, y-intercept: -3

Answers

the equation is, y = 8x-3

vicki has a garden box that is 3 and 1 half feet long 8 feet wide and 1 half foot deep how many cubic feet of dirt does she need to fill the garden box completely.

Answers

Answer:

62 cubic feet

Step-by-step explanation:

31/2*8*1/2

put into calculator

62

Using Tisha's ratio of 4:6 of popcorn to candy lovers, how many popcorn lovers to candy lovers
would there be if Tisha had 50 friends? 100 friends?

Answers

Answer:

50 friends = 20:30

100 friends = 40:60

Step-by-step explanation:

Let candy lovers = cl

Let popcon lover = pl

Let total = t

1) Let's write in ratio form.

pl : cl

4  : 6

2) Add the ratios (4 + 6 = 10) and write it in fraction form multiplying the desired amount.

pl: [tex]\frac{4}{10} * 50[/tex]

cl: [tex]\frac{6}{10}*50[/tex]

3) Solve them.

pl: 20

cl: 30

3) Take the same steps to get the ratio for 100 friends.

pl: [tex]\frac{4}{10} * 100[/tex]

cl: [tex]\frac{6}{10} * 100[/tex]

-------------------------

pl: 40

cl: 60

Solve the equation
1/2(2x + 2)-1/4(3x - 1) = 15
A. X = 1.4
B. X = 6.7
C. X = 10
D. X = 55

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] (2x + 2) - [tex]\frac{1}{4}[/tex] (3x - 1) = 15

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side

4x + 4 - 3x + 1 = 60

x + 5 = 60 ( subtract 5 from both sides )

x = 55

Arrange the following numbers in descending order: 0,9: 0.009: 0,09, 0,0009; 9,09​

Answers

Answer:
9.09 , 0.9 , 0.09 , 0.009 , 0.0009

Explanation:
The more places behind a decimal point a number is, the smaller it is

Hope this helped you! :)

Logan saves the same amount of money each month for college. his current total savings is 300m2 120m 180 dollars. which factorization could represent the number of months and amount of a monthly deposit in dollars? 4m(75m2 30m 40) 10m(30m2 12m 18) 30(10m2 4m 60) 60(5m2 2m 3)

Answers

If  his current total savings is 300m²+120m+180 dollars. The factorization that represent the months and monthly deposit is: 60(5m²+2m+3)

Factorization

Given:

Expression=300m²+120m+180

Factorize

Extraction of common factor

60(5m²+2m+3)

Expand

60×5m²+60×2m+60×3

=300m²+120m+180

Therefore the factorization that represent the months and monthly deposit is: 60(5m²+2m+3).

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Answer: D

Step-by-step explanation:

y=[ ? ]° need help asap

Answers

y = 42°

hope it helps...!!!

i believe that it should be 42 degrees


How long will it take a deposit
of $4500 at an annual simple
interest rate of 5.75% to earn
$1035?

Answers

Answer:

4

Step-by-step explanation:

you times 4500 by 0.0575 and then divide 1035 by that number then you get 4

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