Volume & Surface Area Word Problems

by Caitlin Costello

| 20 QuestionsNote from the author:

VSOL (2009) 7.5 word problems

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?

Lots of recycling :)

32 cubic feet

648 cubic feet

1008 cubic feet

2

1

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?

401.92 cubic inches

100.48 cubic inches

602.88 cubic inches

301.44 cubic inches

3

1

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?

364.24 square centimeters

2,110.08 square centimeters

527.52 square centimeters

263.76 square cenitmers

4

1

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?

659.4 square inches

254 square inches

210 square inches

21 square inches

5

1

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)

4,874.85 cubic feet

19,075.5 cubic feet

76302 cubic feet

76,302 cubic feet

6

1

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!

4,239 cubic feet

635.85 cubic feet

353.25 cubic feet

1,059.75 cubic feet

7

1

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?

56.52 cubic feet

360 cubic feet

270 cubic feet

306 cubic feet

8

1

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?

572 square inches

684 square inches

524 square inches

614 square inches

9

1

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?

The volume will be multipled by 3 and will triple

The volume will be multiplied by 1/3 and will be cut by 1/3

The volume will be multiplied by 2 and will double

The volume will not change

10

1

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!)

1884 cubic feet

942 cubic feet

94.2 cubic feet

3,768 cubic feet

11

1

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!

452.16 square cm.

100.48 square cm.

351.68 square cm.

703.36 square cm.

12

1

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

Determine the amount of tape needed to cover a decorative box

Determine how much candy would fill a jar

Determine how much frosting would cover a cake

Determine how much ice would fill a bucket

13

1

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?

504.8 cubic m.

175.2 cubic m.

95.6 cubic m.

700.8 cubic m.

14

1

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?

8

5

6

10

15

1

Which situation would NOT require finding the volume?

Velasco needs to know how much gas in order to fill his propane tank

Amanda needs to know how much sand she needs to fill her sandbox

Sky needs to know how much wrapping paper is needed to cover her mom's birthday present

Josue needs to know how much candy can fit inside of a jar

16

1

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?

30 cubic inches

54 cubic inches

81 cubic inches

162 cubic inches

17

1

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

18

1

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

Rectangular Prism Q

Rectangular Prism R

Rectangular Prism S

Rectangular Prism T

19

1

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

A

B

C

D

20

1

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

2 times the volume of Rectangular Prism A

3 times the volume of Rectangular Prism A

1/4 the volume of Rectangular Prism A

1/2 the volume of Rectangular Prism A

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