Geometry Honors Volume Test Review
1. Find the volume of the right prism.
24 m
20 m
20 m
2. Find the volume of the triangular prism.
20.6 mm
16 mm
35 mm
13 mm
3. The figure shown below is a cylindrical solid with a circular cylindrical hole drilled out of the
center. Find the volume of the resulting solid. Leave answers in terms of π.
4. Find the volume of the right cone below. Leave answers in terms of π.
Geometry Honors Volume Test Review
5. Find the volume of the rectangular prism.
1m
5m
6m
6. Maija is building a square sandbox with sides 3 feet long. She wants to put sand 0.85 feet deep
in the box. How many cubic feet of sand should Maija order?
7. Jim bought a generator that will run for 4 hours on a liter of gas. The gas tank on the generator
is a rectangular prism with dimensions 10 centimeters by 15 centimeters by 16 centimeters as
shown below. If Jim fills the tank with gas, how long will the generator run? Show how you
arrived at your answer. 1L = 1000 cm3
15 cm
16 cm
10 cm
8. Find the exact volume of a cone that has a height of 15 inches and a radius of 7 inches.
[A] 245 in 3 [B] 154 in 3 [C] 308 in 3 [D] 735 in 3
9. Find the volume of a cylinder with height 8.6 m and diameter 4 m. Use   314
. .
10. Find the volume of the right prism below.
Geometry Honors Volume Test Review
11. If two solids have the same height and the same cross-sectional area at every level, then they
have the same _____.
[A] base perimeter [B] surface area [C] slant height [D] volume
12. A cylindrical can is 20 cm in diameter and 16 cm in height. You want to reduce the diameter
of the can to 16 cm. What must the height be if the new can still has the same volume? Explain
your answer.
13. The pyramid shown has a rectangular base and faces that are isosceles triangles. Find its
volume.
9 ft
2 ft
6 ft
[A] 84 ft 3 [B] 108 ft 3 [C] 144 2 ft 3 [D] 36 ft 3
14. Calculate the volume of a cone with height 8 feet and radius 3 feet.
Geometry Honors Volume Test Review
15. Calculate the volume of the cone. Use   314
. .
4m
3m
[A] 113.04 m3 [B] 12 m3 [C] 37.68 m3 [D] 9.42 m3
16. A satellite is made of a cylinder and two hemispheres. The hemispheres have the same radius
as the cylinder and each fit snugly on either end of the cylinder. If the diameter of the cylinder is
5m and its length is 15 m, find the volume of the satellite. Leave your answer in terms of  .
17. Find the volume of a sphere 6 ft in diameter. Use   314
. and round your answer to the
nearest tenth.
18. The inside of an ice cream cone is filled with ice cream and has radius 4 cm and height
8 cm. Assuming that a half-scoop of ice cream is in the shape of a hemisphere, and that it fits
perfectly on top of the cone (same radius), find the total volume of ice cream. Use 3.14 for 
and round your answer to the nearest tenth.
[A] 5359
. cm3 [B] 267.9 cm3 [C] 2912
. cm3 [D] 4019
. cm3
Geometry Honors Volume Test Review
19. Find the volume of the cone
20. A design on a balloon is 8 cm wide when the balloon holds 44 cm3 of air. How much must
the balloon hold for the design to be 16cm wide?
[A] 263cm3 [B] 352 cm3 [C] 88cm3 [D] 176cm3
21.Find the volume of the right hexagonal pyramid. Round answers to the nearest tenth.
22. The figure shown below is a rectangular prism with a rectangular prism taken out of the
center. Find the volume of the resulting solid.
Geometry Honors Volume Test Review
23. A cone shaped hole is cut out of a cube. Find the total volume of the solid below.
24. Find the volume of the composite space figure to the nearest whole number.
25. Tyler built a dollhouse for his sister as shown in the diagram below. Find the volume of the
dollhouse. Explain your method for finding the volume.
Geometry Honors Volume Test Review
[1] 4800 m3
[2] 3640 mm3
[3] large cyl – small cyl = 12π - 3π = 9π in3
[4]
225 11
cm3 ≈ 93.3
8
[5] 30 m3
[6] 7.65 ft 3
[7] The gas tank has a volume of 2400 cm3 which is equal to 2.4 liters. Multiplying by 4 hours
gives 9.6 hours or 9 hours and 36 minutes.
[8] [A]
[9] 108.016 m 3
[10] 825 in.3
[11] [D]
[12] 25 cm; Volume of each can = 1600 ; so 1600 = 64 h and h = 25.
[13] [D]
[14] 24 ft 3
[15] [C]
[16] cylinder + sphere = 114.583 m3
[17] 113 ft 3
[18] hemisphere + cone = [B]
[19] 12000π
[20] [B]
[21] 218.2 ft3
[22] large prism – small prism = 36 ft3
[23] cube – cone = 97.9 m3
[24] 180 cm3
[25] pyramid + prism = 18.75 ft3