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 rectangular prism is 3 cm long, 8 cm wide and 5 cm high. Find its volume.
Answer: 120 cm3
- V = length × width × height = 3 × 8 × 5
- = 120 cm3
2.A rectangular prism is 10 cm long, 9 cm wide and 3 cm high. Find its volume.
Answer: 270 cm3
- V = length × width × height = 10 × 9 × 3
- = 270 cm3
3.A rectangular prism is 15 cm long, 4 cm wide and 4 cm high. Find its volume.
Answer: 240 cm3
- V = length × width × height = 15 × 4 × 4
- = 240 cm3
4.A triangular prism has a triangular end with base 18 cm and height 5 cm. The prism is 14 cm long. Find its volume.
Answer: 630 cm3
- Area of the triangle = ½ × 18 × 5 = 45 cm2
- V = area of end × length = 45 × 14
- = 630 cm3
5.A triangular prism has a triangular end with base 8 cm and height 3 cm. The prism is 10 cm long. Find its volume.
Answer: 120 cm3
- Area of the triangle = ½ × 8 × 3 = 12 cm2
- V = area of end × length = 12 × 10
- = 120 cm3
6.A rectangular prism has a volume of 96 cm3. Its base is 3 cm by 4 cm. Find its height.
Answer: 8 cm
- Base area = 3 × 4 = 12 cm2
- Height = 96 ÷ 12 = 8 cm
7.A triangular prism has a triangular end with base 16 cm and height 8 cm. The prism is 11 cm long. Find its volume.
Answer: 704 cm3
- Area of the triangle = ½ × 16 × 8 = 64 cm2
- V = area of end × length = 64 × 11
- = 704 cm3
8.A triangular prism has a triangular end with base 18 cm and height 2 cm. The prism is 13 cm long. Find its volume.
Answer: 234 cm3
- Area of the triangle = ½ × 18 × 2 = 18 cm2
- V = area of end × length = 18 × 13
- = 234 cm3
9.A rectangular prism is 8 cm long, 3 cm wide and 6 cm high. Find its volume.
Answer: 144 cm3
- V = length × width × height = 8 × 3 × 6
- = 144 cm3
10.A rectangular prism has a volume of 144 cm3. Its base is 8 cm by 6 cm. Find its height.
Answer: 3 cm
- Base area = 8 × 6 = 48 cm2
- Height = 144 ÷ 48 = 3 cm
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