Engineering High School

The average density of Styrofoam is 1.00 kg/m3. If a Styrofoam cooler is made with outside dimensions of 50.0 cm x 35.0 cm x 30.0cm and the uniform thickness of the Styrofoam is 3.00 cm (including the lid).
1. What is the volume of Styrofoam used in cubic inches? Present your answer using the appropriate number of significant figures.
2. Based on the data provided in Question 4, what is the mass of Styrofoam in slugs? Provide your answer using the appropriate number of significant figures.
3.Based on the data provided in Question 4, how many gallons of liquid could be stored in the cooler? Provide your answer using the appropriate number of significant figures.

Answers

Answer 1

1) The thickness of the Styrofoam is 3.00 cm = 1.181 in.

2) the mass of Styrofoam is 1.9 slugs.

3)  the number of gallons of liquid that could be stored in the cooler is 61 gallons.

What is the explanation for the above response?

1) To find the volume of Styrofoam used, we first need to convert the dimensions from centimeters to inches:

50.0 cm = 19.685 in

35.0 cm = 13.780 in

30.0 cm = 11.811 in

The thickness of the Styrofoam is 3.00 cm = 1.181 in.

The volume of the Styrofoam used is:

V = (19.685 in) x (13.780 in) x (1.181 in) = 3223.6 in3

Rounding to the appropriate number of significant figures, the volume of Styrofoam used is 3200 in3.

2)To find the mass of Styrofoam in slugs, we first need to convert the density from kg/m3 to slugs/in3:

1 kg/m3 = 0.000578 slugs/in3

The volume of the Styrofoam used is 3223.6 in3 (from part 1).

The mass of the Styrofoam is:

m = (3223.6 in3) x (1.00 kg/m3) x (0.000578 slugs/in3) = 1.86 slugs

Rounding to the appropriate number of significant figures, the mass of Styrofoam is 1.9 slugs.

3) To find the number of gallons of liquid that could be stored in the cooler, we need to first find the volume of the cooler in cubic inches.

V = (19.685 in) x (13.780 in) x (30.0 cm + 2 x 3.0 cm) = 14157 in3

Next, we need to convert the volume from cubic inches to gallons:

1 gallon = 231 in3

The volume of the cooler in gallons is:

V = (14157 in3) / (231 in3/gallon) = 61.2 gallons

Rounding to the appropriate number of significant figures, the number of gallons of liquid that could be stored in the cooler is 61 gallons.


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Related Questions

What feature of a thread is checked with a thread micrometer?
Crest radius
Root radius
Major diameter Pitch diameter
Minor diameter

Answers

The  feature of a thread is checked with a thread micrometer  are:

Major diameter

Pitch diameter

Minor diameter

What is the thread?

A thread micrometer is a specialized measuring instrument used to measure the major diameter, minor diameter, and pitch diameter of external threads. The major diameter is the largest diameter of the thread, while the minor diameter is the smallest diameter of the thread. The pitch diameter is the diameter at which the width of the thread and the width of the space between the threads are equal.

The crest radius and root radius of a thread are not typically checked with a thread micrometer. These measurements are instead checked using specialized measuring instruments known as thread profile gauges, which are designed to measure the shape and size of the thread's crest and root.

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