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 triangular prism has a triangular end with base 12 cm and height 6 cm. The prism is 11 cm long. Find its volume.
Answer: 396 cm3
- Area of the triangle = ½ × 12 × 6 = 36 cm2
- V = area of end × length = 36 × 11
- = 396 cm3
2.A rectangular prism is 8 cm long, 6 cm wide and 3 cm high. Find its volume.
Answer: 144 cm3
- V = length × width × height = 8 × 6 × 3
- = 144 cm3
3.A rectangular prism has a volume of 120 cm3. Its base is 5 cm by 8 cm. Find its height.
Answer: 3 cm
- Base area = 5 × 8 = 40 cm2
- Height = 120 ÷ 40 = 3 cm
4.A triangular prism has a triangular end with base 6 cm and height 8 cm. The prism is 9 cm long. Find its volume.
Answer: 216 cm3
- Area of the triangle = ½ × 6 × 8 = 24 cm2
- V = area of end × length = 24 × 9
- = 216 cm3
5.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 5 cm long. Find its volume.
Answer: 165 cm3
- Area of the triangle = ½ × 22 × 3 = 33 cm2
- V = area of end × length = 33 × 5
- = 165 cm3
6.A triangular prism has a triangular end with base 16 cm and height 8 cm. The prism is 6 cm long. Find its volume.
Answer: 384 cm3
- Area of the triangle = ½ × 16 × 8 = 64 cm2
- V = area of end × length = 64 × 6
- = 384 cm3
7.A rectangular prism has a volume of 72 cm3. Its base is 6 cm by 2 cm. Find its height.
Answer: 6 cm
- Base area = 6 × 2 = 12 cm2
- Height = 72 ÷ 12 = 6 cm
8.A rectangular prism has a volume of 440 cm3. Its base is 11 cm by 5 cm. Find its height.
Answer: 8 cm
- Base area = 11 × 5 = 55 cm2
- Height = 440 ÷ 55 = 8 cm
9.A rectangular prism is 2 cm long, 12 cm wide and 10 cm high. Find its volume.
Answer: 240 cm3
- V = length × width × height = 2 × 12 × 10
- = 240 cm3
10.A rectangular prism has a volume of 42 cm3. Its base is 3 cm by 2 cm. Find its height.
Answer: 7 cm
- Base area = 3 × 2 = 6 cm2
- Height = 42 ÷ 6 = 7 cm
Marking tips
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