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Volume of triangular and other prisms

7th grade (Year 8 in England) · 16 questions · Common Core: 7.G.B.6 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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Date

Score/ 16

  1. Question 1

    A triangular prism has a triangular end with base 6 cm and height 9 cm. The prism is 9 cm long. Find its volume, in cm³.

    6 cm9 cm

    Answer

  2. Question 2

    A tent is a triangular prism. Its triangular end has base 2 m and height 5 m. The tent holds 50 m³ of air. How long is the tent, in m?

    Answer

  3. Question 3

    A prism has a cross-section shaped like a L-shape with area 37 cm². It is 16 cm long. What is its volume, in cm³?

    Answer

  4. Question 4

    A triangular prism has a triangular end with base 2 cm and height 8 cm. The prism is 3 cm long. Find its volume, in cm³.

    2 cm8 cm

    Answer

  5. Question 5

    A tent is a triangular prism. Its triangular end has base 2 m and height 6 m. The tent holds 42 m³ of air. How long is the tent, in m?

    Answer

  6. Question 6

    A prism has a cross-section shaped like a trapezium with area 12 cm². It is 23 cm long. What is its volume, in cm³?

    Answer

  7. Question 7

    A triangular prism has a triangular end with base 9 cm and height 10 cm. The prism is 14 cm long. Find its volume, in cm³.

    9 cm10 cm

    Answer

  8. Question 8

    A tent is a triangular prism. Its triangular end has base 12 m and height 9 m. The tent holds 324 m³ of air. How long is the tent, in m?

    Answer

  9. Question 9

    A prism has a cross-section shaped like a trapezium with area 57 cm². It is 18 cm long. What is its volume, in cm³?

    Answer

  10. Question 10

    A triangular prism has a triangular end with base 7 cm and height 7 cm. The prism is 7 cm long. Find its volume, in cm³.

    7 cm7 cm

    Answer

  11. Question 11

    A tent is a triangular prism. Its triangular end has base 8 m and height 3 m. The tent holds 144 m³ of air. How long is the tent, in m?

    Answer

  12. Question 12

    A prism has a cross-section shaped like a pentagon with area 41 cm². It is 15 cm long. What is its volume, in cm³?

    Answer

  13. Question 13

    A triangular prism has a triangular end with base 2 cm and height 3 cm. The prism is 19 cm long. Find its volume, in cm³.

    2 cm3 cm

    Answer

  14. Question 14

    A tent is a triangular prism. Its triangular end has base 12 m and height 2 m. The tent holds 84 m³ of air. How long is the tent, in m?

    Answer

  15. Question 15

    A prism has a cross-section shaped like a pentagon with area 22 cm². It is 10 cm long. What is its volume, in cm³?

    Answer

  16. Question 16

    A triangular prism has a triangular end with base 11 cm and height 6 cm. The prism is 14 cm long. Find its volume, in cm³.

    11 cm6 cm

    Answer

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Answer key: Volume of triangular and other prisms

  1. 1. 243

  2. 2. 10

  3. 3. 592

  4. 4. 24

  5. 5. 7

  6. 6. 276

  7. 7. 630

  8. 8. 6

  9. 9. 1026

  10. 10. 171.5

  11. 11. 12

  12. 12. 615

  13. 13. 57

  14. 14. 7

  15. 15. 220

  16. 16. 462