1. Volume and Surface Area Review
Paper Calculator Pencil and Reference sheet out and ready to start!

2. Calculate the volume. Round to the nearest tenth
121.5  𝝅
381.7 cubic inches

3. Calculate the surface area. Round to nearest tenth.
SA = 2(area base) + (perimeter base)Height
2[ ℎ 𝑏 1 + 𝑏 2 ] ( 𝑎+𝑏+𝑐+𝑑) 𝐻
2[ ( ] + ( )
728 cm2
15 cm
14 cm
4 cm
14 cm
6 cm

4. V = 𝝅 𝒓 𝟐 𝑯 𝝅 𝟑 𝟐 𝟒 3𝟔𝝅 cubic feet 3𝟔𝝅(11) ≈ 1244.1 lbs
About how many pounds does the hay bale weight if it has a diameter of 6 feet and a height of 4 ft (1 ft3 ≈ 11 lbs)
V = 𝝅 𝒓 𝟐 𝑯 𝝅 𝟑 𝟐 𝟒
3𝟔𝝅 cubic feet
3𝟔𝝅(11) ≈ lbs

5. Calculate the surface area. Round to nearest tenth.
Surface area = 2(area base) + (perimeter of the base) Height
2[ 𝑏ℎ] ( 𝑎+𝑏+𝑐) 𝐻 2[
920 square ft

6. 249 square inches of frosting needed. Jeremiah needs to buy two cans
Jeremiah needs to frost the cake below. One can of frosting will cover 200 square inches. How many cans of frosting should he purchase to cover the cake? . .
Surface area = (area base) + (perimeter of the base) Height
[𝑏ℎ] ( 𝑎+𝑏+𝑐+𝑑) 𝐻
249 square inches of frosting needed. Jeremiah needs to buy two cans

7. Calculate the volume. Round to the nearest tenth
V = BH
V = ( 𝟏 𝟐 𝒃𝒉)𝑯 ( 𝟏 𝟐 (𝟐.𝟓)(𝟔)) 𝟗
7.5(9)
9.75 cubic cm

8. Calculate the volume. Round to nearest tenth.
𝝅 𝒓 𝟐 𝑯 𝟏 𝟐 𝟒 𝟑 𝝅 𝒓 𝟑 𝝅 𝟑 𝟐 𝟓 + 𝟏 𝟐 𝟒 𝟑 𝝅 𝟑 𝟑
45  𝝅 𝝅
197.9 cubic centimeter
3 cm
5 cm

9. 104.7 cubic feet of sand at the job site.
To fill a sandbox, Jim needs128 cubic feet of sand. If he has a conical pile of sand measuring 120 inches in diameter and 48 inches high, is there enough sand still on the job site to finish the job? Explain your reasoning.
V = 𝟏 𝟑 𝝅 𝒓 𝟐 𝑯 𝟏 𝟑 𝝅 𝟓 𝟐 𝟒
𝟏𝟎𝟎 𝟑 𝝅
104.7 cubic feet of sand at the job site.
No, there is not enough sand. He needs 128 cubic feet of sand and he only has cubic feet

10. Calculate the volume. Round to the nearest tenth
108 𝝅
339.3 cubic feet

11. V = (big Triangle) - (little triangle) ( 1 2 𝑏ℎ)𝐻 − ( 1 2 𝑏ℎ) 𝐻
Mrs. Powell is making a piñata like the one shown below for her son’s birthday party. She wants to fill it with candy. What is the volume of the piñata? .
V = (big Triangle) - (little triangle)
( 1 2 𝑏ℎ)𝐻 − ( 1 2 𝑏ℎ) 𝐻
− (6)
27 𝑐𝑚 3
6 cm

12. Calculate the volume. Round to the nearest tenth
245  𝝅
cubic centimeters