7th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 7th Grade volume & capacity worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Volume & Capacity7th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Show your work. Volume is measured in cubic units (cm³).
1.A rectangular prism is 2 cm long, 8 cm wide and 10 cm high. Find its volume.
Answer: 160 cm3
- V = length × width × height = 2 × 8 × 10
- = 160 cm3
2.A rectangular prism is 4 cm long, 7 cm wide and 9 cm high. Find its volume.
Answer: 252 cm3
- V = length × width × height = 4 × 7 × 9
- = 252 cm3
3.A triangular prism has a triangular end with base 18 cm and height 2 cm. The prism is 4 cm long. Find its volume.
Answer: 72 cm3
- Area of the triangle = ½ × 18 × 2 = 18 cm2
- V = area of end × length = 18 × 4
- = 72 cm3
4.A rectangular prism is 5 cm long, 4 cm wide and 8 cm high. Find its volume.
Answer: 160 cm3
- V = length × width × height = 5 × 4 × 8
- = 160 cm3
5.A triangular prism has a triangular end with base 12 cm and height 8 cm. The prism is 14 cm long. Find its volume.
Answer: 672 cm3
- Area of the triangle = ½ × 12 × 8 = 48 cm2
- V = area of end × length = 48 × 14
- = 672 cm3
6.A triangular prism has a triangular end with base 4 cm and height 2 cm. The prism is 4 cm long. Find its volume.
Answer: 16 cm3
- Area of the triangle = ½ × 4 × 2 = 4 cm2
- V = area of end × length = 4 × 4
- = 16 cm3
7.A rectangular prism has a volume of 432 cm3. Its base is 12 cm by 6 cm. Find its height.
Answer: 6 cm
- Base area = 12 × 6 = 72 cm2
- Height = 432 ÷ 72 = 6 cm
8.A triangular prism has a triangular end with base 20 cm and height 5 cm. The prism is 3 cm long. Find its volume.
Answer: 150 cm3
- Area of the triangle = ½ × 20 × 5 = 50 cm2
- V = area of end × length = 50 × 3
- = 150 cm3
9.A triangular prism has a triangular end with base 16 cm and height 4 cm. The prism is 6 cm long. Find its volume.
Answer: 192 cm3
- Area of the triangle = ½ × 16 × 4 = 32 cm2
- V = area of end × length = 32 × 6
- = 192 cm3
10.A rectangular prism has a volume of 308 cm3. Its base is 11 cm by 4 cm. Find its height.
Answer: 7 cm
- Base area = 11 × 4 = 44 cm2
- Height = 308 ÷ 44 = 7 cm
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