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Volume & Surface Area Word Problems

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Last updated almost 8 years ago
20 questions
Note from the author:
VSOL (2009) 7.5 word problems
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Question 1
1.

David and Vanesa built a recycling bin that is 6 feet wide, 12 leef long, and 14 feet high. How much recycling can fit inside of the bin?

Question 2
2.

The cylindrical canister of a fire extinguisher has a radius of 4 inches and a height of 12 inches. How many cubic inches can it hold inside?

Question 3
3.

A soup can has a diamteter of 8 cm. and a height of 10.5 cm.. How much metal is needed to make the outside of the can?

Question 4
4.

Tyrie'k is wrappng a box that is 5 inches long, 14 inches wide, and 3 inches tall for a freinds birthday. How much wrapping paper will he need to cover the box?

Question 5
5.

A cylindrical chemical tank is 12 feet high and has a diameter of 45 feet. How many cubic feet of liquid could the tank hold? (Be sure to find the radius before you start)

Question 6
6.

A round swimming pool has a diameter of 15 feet and is 6 feet deep. How much water will the pool hold? (Be sure to find the radius before you start!

Question 7
7.

Dwyane is building a sand box that is 6 feet wide, 3 feet long, and 15 inches high. How many cubic feet of sand will the box hold?

Question 8
8.

Donnie is building a rectangular planter, for his garden, without the top. The planter will be 7 inches wide, 16 inches long, and 10 inches high. How much wood is needed to make the bottom and the sides of the planter?

Question 9
9.

A rectangular prism has a length of 8 units, a width of 4 units, and a height of 2 units. If only the height is tripled (x3), how does that affect the volume of the rectangular prism?

Question 10
10.

Kimberly is filling a cylinder shaped swimming pool that has a diameter of 20 feet. She fills it with water to a depth of 3 feet. How much water is in the swimming pool? (be sure to find the radius first!)

Question 11
11.

For your first job after graduating from college, you are in charge of developing the packaging for the salt that your company sells. How much paper will he need to completely cover each container of salt that has a height of 14 cm and a diameter of 8 cm. Remember to find the radius first!

Question 12
12.

Choose each situation that would use the application of surface area:

Question 13
13.

Cait wants to fill her pool. The height is 14.6 m., the width is 8 m. and the length is 6 m. Which is the closest to the minimum amount of water Cait needs to fill it completely?

Question 14
14.

The volume of rectangular solid is 720 cubic inches. The dimensions of the base are 12 inches by 10 inches. What is the height of the solid?

Question 15
15.

Which situation would NOT require finding the volume?

Question 16
16.

A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height of this prism is changed to 6 inches, and the other dimensions stay the same. What is the volume of the prism with this change?

Question 17
17.

Look at the picture above. Select your answer to the picture (question above) here:

Question 18
18.

Look at the picture above. Select your answer to the picture (question above) here:

Question 19
19.

Look at the picture above. Select your answer to the picture (question above) here:

Question 20
20.

Look at the picture above. Select your answer to the picture (question above) here: