Year 7 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 volume & capacity worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Volume & CapacityYear 7 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Show your working. Volume is measured in cubic units (cm³).
1.A triangular prism has a triangular end with base 22 cm and height 9 cm. The prism is 4 cm long. Find its volume.
Answer: 396 cm3
- Area of the triangle = ½ × 22 × 9 = 99 cm2
- V = area of end × length = 99 × 4
- = 396 cm3
2.A triangular prism has a triangular end with base 18 cm and height 8 cm. The prism is 11 cm long. Find its volume.
Answer: 792 cm3
- Area of the triangle = ½ × 18 × 8 = 72 cm2
- V = area of end × length = 72 × 11
- = 792 cm3
3.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 9 cm long. Find its volume.
Answer: 108 cm3
- Area of the triangle = ½ × 12 × 2 = 12 cm2
- V = area of end × length = 12 × 9
- = 108 cm3
4.A rectangular prism has a volume of 567 cm3. Its base is 9 cm by 7 cm. Find its height.
Answer: 9 cm
- Base area = 9 × 7 = 63 cm2
- Height = 567 ÷ 63 = 9 cm
5.A rectangular prism is 10 cm long, 6 cm wide and 9 cm high. Find its volume.
Answer: 540 cm3
- V = length × width × height = 10 × 6 × 9
- = 540 cm3
6.A rectangular prism is 14 cm long, 5 cm wide and 7 cm high. Find its volume.
Answer: 490 cm3
- V = length × width × height = 14 × 5 × 7
- = 490 cm3
7.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
8.A triangular prism has a triangular end with base 24 cm and height 6 cm. The prism is 14 cm long. Find its volume.
Answer: 1,008 cm3
- Area of the triangle = ½ × 24 × 6 = 72 cm2
- V = area of end × length = 72 × 14
- = 1,008 cm3
9.A rectangular prism is 12 cm long, 12 cm wide and 3 cm high. Find its volume.
Answer: 432 cm3
- V = length × width × height = 12 × 12 × 3
- = 432 cm3
10.A rectangular prism is 8 cm long, 9 cm wide and 2 cm high. Find its volume.
Answer: 144 cm3
- V = length × width × height = 8 × 9 × 2
- = 144 cm3
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