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Volume of a rectangular prism

Grades 5 and 6 (Years 5 and 6 in England) · 16 questions · Common Core: 5.MD.C.3, 5.MD.C.4, 5.MD.C.5, 5.MD.C.5.B · England: Y5 Measurement, Y6 Measurement, KS3 Geometry and measures

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Date

Score/ 16

  1. Question 1

    A stack of 1 cm cubes is 2 cubes long, 3 cubes wide and 5 layers high. How many cubes are there?

    Answer

  2. Question 2

    The picture shows one layer of a box packed with 1 cm cubes. There are 4 layers like this. What is the volume of the box in cm³?

    Answer

  3. Question 3

    Yuki builds a cuboid from unit cubes: 4 cubes long, 4 cubes wide and 3 cubes tall. How many cubes does Yuki use?

    Answer

  4. Question 4

    A cuboid has edges 3/4 m, 3 m and 1/2 m. Find its volume in m³ as a fraction or mixed number.

    Answer(as a fraction)

  5. Question 5

    A block measuring 7 cm × 4 cm × 3 cm has a piece measuring 4 cm × 4 cm × 2 cm cut out of one end. What volume is left?

    Answer

  6. Question 6

    A cuboid has a volume of 144 cm³. Its length is 6 cm and its width is 4 cm. What is its height?

    Answer

  7. Question 7

    How many cubes with edge ½ cm fill a box that is 2 cm by 4.5 cm by 3 cm?

    Answer

  8. Question 8

    A fish tank has a base area of 30 dm² and holds 180 dm³ of water when full. How deep is the water when the tank is full, in dm?

    Answer

  9. Question 9

    A box is 2 m long, 8 m wide and 3 m high. What is its volume, in m³?

    Answer

  10. Question 10

    A shape is made by joining two cuboids. One is 4 cm × 3 cm × 5 cm and the other is 4 cm × 2 cm × 5 cm. What is the total volume?

    Answer

  11. Question 11

    A box measures 3.8 cm by 4 cm by 0.5 cm. What is its volume, in cm³?

    Answer

  12. Question 12

    A fish tank has a volume of 60 cubic units and a base of 4 by 3 units. How many units high is it?

    Answer

  13. Question 13

    A stack of 1 cm cubes is 6 cubes long, 6 cubes wide and 2 layers high. How many cubes are there?

    Answer

  14. Question 14

    The picture shows one layer of a box packed with 1 cm cubes. There are 3 layers like this. What is the volume of the box in cm³?

    Answer

  15. Question 15

    Luis builds a cuboid from unit cubes: 4 cubes long, 2 cubes wide and 2 cubes tall. How many cubes does Luis use?

    Answer

  16. Question 16

    A cuboid has edges 1/2 m, 2 m and 1/2 m. Find its volume in m³ as a fraction or mixed number.

    Answer(as a fraction)

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Answer key: Volume of a rectangular prism

  1. 1. 30

  2. 2. 48

  3. 3. 48

  4. 4. 9/8

  5. 5. 52

  6. 6. 6

  7. 7. 216

  8. 8. 6

  9. 9. 48

  10. 10. 100

  11. 11. 7.6

  12. 12. 5

  13. 13. 72

  14. 14. 72

  15. 15. 16

  16. 16. 1/2