Volume and Surface Area Application Problems
Find the cube root.
1. √
2. √
3. What is the difference in the length of the sides of the cubes?
Volume = 1000 cm3
Volume = 27 cm3
4. A single serving box of cereal measures 2 in x 3 in x 4 in. Explain mathematically whether increasing
the height by four times, from 4 in to 16 in, would increase the volume by four times.
5. An ice tray can make 14 ice cubes. If the length of each cube is 2 inches, what is the total volume of the
ice tray?
6. How many cubic feet of space does this squirrel have if this ½ log is 10 ft long with a diameter of 2 ft?
7. Put these 3 ice cream treats in order from greatest volume to least volume. Show the math that
supports your answer.
8. If the radius of each of these water balloons is 3 in., find the total volume of water in all 12 balloons.
9. If the volume of this cube is 79.507 in3, find the length, width, and height?
10. If the total volume of a Rubik’s cube is 2197 cm3, what is the length of one cube?
11. You want to find out how much ice cream can your cone can hold. The height of the cone is 7 inches
and the diameter of the top is 3 inches. How much ice cream will it hold?
12. You need to wrap a gift for your cousin’s birthday. Your box has the dimensions of 15 in x 4 in x 11 in.
How much paper do you need if you do not have any of the paper overlapping?
11 in
15 in
4 in
13. A pop can holds 502.4 cm3 of pop. If the radius of the can is 4 cm, what is the height of the can?
14. A swimming pool is 7 m long, 5 m wide, and 1 m deep. You want to resurface your pool’s interior
surface and it costs $3 per square meter. How much will it cost to resurface the pool?
15. Jarrett has a cube that measures 3 inches on each side and Alex has a cube that measures 4 inches on
each side. How much larger is the volume of Alex’s cube compared to Jarrett’s cube in cubic inches?
16. Choose ALL correct choices. Show all work.
Which of the following could be the dimensions of a box with a volume of 1000 cubic inches?
A 10 in x 10 in x 10 in
B 10 in x 100 in x 10 in
C 1 in x 10 in x 100 in
D 100 x 1000 x 1
17. A rectangular prism has dimensions that are 5 in x 4 in x 6 in. Explain mathematically whether
increasing the length by three times, from 5 in to 15 in, would increase the volume by 3 times. Give the
volume of the original prism, the new prism, and explain your answer.
18. What is the difference in the length of the sides of the cubes?
Volume = 1000 cm3
Volume = 27 cm3
19. The cylinder and cone have the same height and radius. What is the volume of the cylinder
if the volume of the cone is 45 cm3?
20. The solid is composed of a triangular prism and a rectangular prism. Find the surface area of the solid
to the nearest square foot.
21. What is the approximate radius of a sphere with a volume of 36 cm3?
22. A cereal company wants to use one of the packages below. Both packages will cost the same amount
of money. Which package will hold more cereal?
23. Find the volume.
24. Find the slant height.