Volume & Capacity

14 Grade 5 Mathematics questions on Volume & Capacity, with worked marking schemes. 14 questions are available on this topic in full.

1. Question 1

   1 mark

   5 l 750 ml − 2 l 900 ml = ___

   A. 3 l 850 ml

   B. 2 l 850 ml

   C. 2 l 750 ml

   D. 3 l 150 ml

   (1 mark)

   Marking scheme

   B. $2$ l $850$ ml — $750$ ml cannot take away $900$ ml, so borrow a litre to make $1,750-900=850$ ml, leaving $4-2=2$ l. D forgets to give that litre up.

2. Question 2

   1 mark

   A fish tank is 50 cm × 30 cm × 20 cm. What is its volume in cm³?

   A. 3,000 cm³

   B. 300,000 cm³

   C. 300 cm³

   D. 30,000 cm³

   (1 mark)

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3. Question 3

   1 mark

   A cube has side 4 cm. What is its volume?

   A. 64 cm³

   B. 48 cm³

   C. 16 cm³

   D. 24 cm³

   (1 mark)

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4. Question 4

   1 mark

   Which has greater volume: a cube of side 3 cm or a cuboid of 2 cm × 3 cm × 4 cm?

   A. Cannot compare

   B. Cube (27 cm³)

   C. Equal

   D. Cuboid (24 cm³)

   (1 mark)

   Marking scheme

   B. Cube ($27$ cm${}^3$) — work out both and compare. The cube is $3\times 3\times 3=27$ cm${}^3$ and the cuboid is $2\times 3\times 4=24$ cm${}^3$, so the cube is larger by $3$ cm${}^3$. They are close enough that guessing from the side lengths is unsafe: the cuboid has a longer edge, but the cube's shape holds more.

5. Question 5

   1 mark

   Find the volume of a cuboid: 5 cm × 4 cm × 3 cm.

   A. 47 cm³

   B. 20 cm³

   C. 48 cm³

   D. 60 cm³

   (1 mark)

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6. Question 6

   1 mark

   A cuboid has volume 120 cm³, length 6 cm and width 4 cm. Find its height.

   A. 4 cm

   B. 3 cm

   C. 5 cm

   D. 6 cm

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7. Question 7

   1 mark

   A box is 10 cm × 8 cm × 6 cm. How many 1 cm³ blocks fill it?

   A. 240

   B. 120

   C. 480

   D. 48

   (1 mark)

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8. Question 8

   1 mark

   Convert 4,250 ml to litres and millilitres.

   A. 4 l 25 ml

   B. 42 l 50 ml

   C. 42 l 5 ml

   D. 4 l 250 ml

   (1 mark)

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9. Question 9

   1 mark

   A water container holds 8.5 l. Water is poured into cups of 250 ml each. How many cups?

   A. 30

   B. 34

   C. 32

   D. 36

   (1 mark)

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10. Question 10

    1 mark

    3 l 400 ml × 3 = ___

    A. 10 l 800 ml

    B. 9 l 200 ml

    C. 10 l 200 ml

    D. 9 l 400 ml

    (1 mark)

    Marking scheme

    C. $10$ l $200$ ml — work in millilitres: $3,400\times 3=10,200$ ml, which is $10$ l $200$ ml. Multiplying the litres and millilitres separately and not carrying gives B.

11. Question 11

    1 mark

    How many millilitres are in 3.5 litres?

    A. 3,050 ml

    B. 350 ml

    C. 35,000 ml

    D. 3,500 ml

    (1 mark)

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12. Question 12

    2 marks

    A dairy farmer has a drum containing $60$ litres of milk. He pours it equally into $8$ containers. How many litres of milk does each container hold?

    (2 marks)

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13. Question 13

    1 mark

    A jerrican holds $20$ litres of water. How many cups of $500$ ml each can be filled from a full jerrican?

    A. $40$

    B. $400$

    C. $10$

    D. $4$

    (1 mark)

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14. Question 14

    1 mark

    1 litre = ___ cm³

    A. 10,000 cm³

    B. 500 cm³

    C. 1,000 cm³

    D. 100 cm³

    (1 mark)

    Marking scheme

    C. $1,000$ cm${}^3$ — a litre is defined as $1,000$ cm${}^3$, the same as $1,000$ ml, which is why millilitres and cubic centimetres are interchangeable.

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