Year 7 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Show your working. Volume is measured in cubic units (cm³).
1.A rectangular prism is 13 cm long, 7 cm wide and 2 cm high. Find its volume.
Answer: 182 cm3
- V = length × width × height = 13 × 7 × 2
- = 182 cm3
2.A rectangular prism has a volume of 96 cm3. Its base is 12 cm by 4 cm. Find its height.
Answer: 2 cm
- Base area = 12 × 4 = 48 cm2
- Height = 96 ÷ 48 = 2 cm
3.A rectangular prism has a volume of 112 cm3. Its base is 4 cm by 4 cm. Find its height.
Answer: 7 cm
- Base area = 4 × 4 = 16 cm2
- Height = 112 ÷ 16 = 7 cm
4.A triangular prism has a triangular end with base 18 cm and height 4 cm. The prism is 8 cm long. Find its volume.
Answer: 288 cm3
- Area of the triangle = ½ × 18 × 4 = 36 cm2
- V = area of end × length = 36 × 8
- = 288 cm3
5.A triangular prism has a triangular end with base 6 cm and height 2 cm. The prism is 8 cm long. Find its volume.
Answer: 48 cm3
- Area of the triangle = ½ × 6 × 2 = 6 cm2
- V = area of end × length = 6 × 8
- = 48 cm3
6.A rectangular prism has a volume of 672 cm3. Its base is 12 cm by 7 cm. Find its height.
Answer: 8 cm
- Base area = 12 × 7 = 84 cm2
- Height = 672 ÷ 84 = 8 cm
7.A triangular prism has a triangular end with base 22 cm and height 10 cm. The prism is 10 cm long. Find its volume.
Answer: 1,100 cm3
- Area of the triangle = ½ × 22 × 10 = 110 cm2
- V = area of end × length = 110 × 10
- = 1,100 cm3
8.A rectangular prism has a volume of 72 cm3. Its base is 4 cm by 6 cm. Find its height.
Answer: 3 cm
- Base area = 4 × 6 = 24 cm2
- Height = 72 ÷ 24 = 3 cm
9.A triangular prism has a triangular end with base 22 cm and height 8 cm. The prism is 6 cm long. Find its volume.
Answer: 528 cm3
- Area of the triangle = ½ × 22 × 8 = 88 cm2
- V = area of end × length = 88 × 6
- = 528 cm3
10.A triangular prism has a triangular end with base 22 cm and height 9 cm. The prism is 13 cm long. Find its volume.
Answer: 1,287 cm3
- Area of the triangle = ½ × 22 × 9 = 99 cm2
- V = area of end × length = 99 × 13
- = 1,287 cm3
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