Volume & Capacity

10 Grade 6 Mathematics questions on Volume & Capacity, with worked marking schemes. 10 questions are available on this topic in full.

1. Question 1

   1 mark

   A rectangular container is 20 cm by 15 cm by 10 cm. How many litres can it hold? (1 litre = 1,000 cm³)

   A. 3 litres

   B. 30 litres

   C. 0.3 litres

   D. 300 litres

   (1 mark)

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2. Question 2

   1 mark

   A cuboid has length 10 cm, width 6 cm and height 4 cm. What is its volume?

   A. 240 cm³

   B. 24 cm³

   C. 120 cm³

   D. 200 cm³

   (1 mark)

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3. Question 3

   1 mark

   A tank holds 8,000 litres. How many cubic metres is this? (1 m³ = 1,000 litres)

   A. 800 m³

   B. 8 m³

   C. 80 m³

   D. 0.8 m³

   (1 mark)

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4. Question 4

   1 mark

   How many litres are in 3,500 ml?

   A. 0.35

   B. 35

   C. 3.5

   D. 350

   (1 mark)

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5. Question 5

   1 mark

   Convert 4.5 m³ to litres.

   A. 450

   B. 45,000

   C. 4,500

   D. 45

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6. Question 6

   1 mark

   A cylindrical tank has radius 7 cm and height 10 cm. What is its volume? (Use $\pi =\frac{22}{7}$)

   A. 440 cm³

   B. 1,540 cm³

   C. 2,200 cm³

   D. 770 cm³

   (1 mark)

   Marking scheme

   B. $1,540$ cm${}^3$ — volume is the circular cross-section times the height: $\pi r^{2}h=\frac{22}{7}\times 49\times 10$. D stops at the area of the circle without multiplying by the height.

7. Question 7

   1 mark

   A bottle holds 750 ml. How many bottles fill a 15-litre container?

   A. 15

   B. 10

   C. 25

   D. 20

   (1 mark)

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8. Question 8

   1 mark

   A cube has side 5 cm. What is its volume?

   A. 125 cm³

   B. 25 cm³

   C. 75 cm³

   D. 15 cm³

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9. Question 9

   1 mark

   The volume of a cube is 512 cm³. What is the side length?

   A. 16 cm

   B. 64 cm

   C. 12 cm

   D. 8 cm

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10. Question 10

    1 mark

    A water tank is 2 m long, 1 m wide and 1.5 m high. What is its capacity in litres?

    A. 300

    B. 30

    C. 30,000

    D. 3,000

    (1 mark)

    Marking scheme

    D. $3,000$ — find the volume first: $2\times 1\times 1.5=3$ m${}^3$, then convert, since $1$ m${}^3$ holds $1,000$ litres. B gives the volume in cubic metres rather than litres.

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