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Primary 6 · Mathematics · Volume of Solids

Volume of Solids questions for Primary 6 Maths

10 questions to work through online. Answer and you get the working straight away, then a score at the end. No sign-up, and you can retake it as often as you like.

  • Volume of a cuboid
  • Volume of a cube
  • Working backwards
  • Volume in litres
  • Remaining capacity
  • Water transfer
  • Units of volume
  • Fitting cubes
  • Height of remaining water
  • Composite volume
0 of 10 answered
Question 1 of 10Volume of a cuboid
A cuboid measures 12 cm by 8 cm by 5 cm. What is its volume?
Question 2 of 10Volume of a cube
What is the volume of a cube with edges of 5 cm?
Question 3 of 10Working backwards
A cuboid has a volume of 480 cm³. Its base measures 10 cm by 8 cm. What is its height?
Question 4 of 10Volume in litres
A tank measures 25 cm by 16 cm by 10 cm. How many litres of water does it hold when full?
Question 5 of 10Remaining capacity
A tank 40 cm by 25 cm by 20 cm contains 12 litres of water. How much more water is needed to fill it?
Question 6 of 10Water transfer
8 litres of water are poured into an empty tank whose base is 20 cm by 10 cm. What is the height of the water?
Question 7 of 10Units of volume
A jug holds 3500 cm³ of juice. How many litres is that?
Question 8 of 10Fitting cubes
How many 4 cm cubes fit inside a cuboid measuring 12 cm by 8 cm by 8 cm?
Question 9 of 10Height of remaining water
A tank 30 cm by 20 cm by 15 cm is full. 6 litres are poured out. What is the new height of the water?
Question 10 of 10Composite volume
A 4 cm by 4 cm by 10 cm hole is cut right through a 10 cm cube. What volume of the cube remains?
Answers and explanations for all 10 questions

Every answer with the reasoning behind it. Worth reading after you have tried the set — or on its own, if you are a parent marking it.

  1. A cuboid measures 12 cm by 8 cm by 5 cm. What is its volume?

    Answer: 480 cm³

    Volume = 12 × 8 × 5 = 480 cm³.

  2. What is the volume of a cube with edges of 5 cm?

    Answer: 125 cm³

    5 × 5 × 5 = 125 cm³.

  3. A cuboid has a volume of 480 cm³. Its base measures 10 cm by 8 cm. What is its height?

    Answer: 6 cm

    The base area is 10 × 8 = 80 cm², and 480 ÷ 80 = 6 cm.

  4. A tank measures 25 cm by 16 cm by 10 cm. How many litres of water does it hold when full?

    Answer: 4 ℓ

    25 × 16 × 10 = 4000 cm³, and 1000 cm³ = 1 ℓ, so the tank holds 4 ℓ.

  5. A tank 40 cm by 25 cm by 20 cm contains 12 litres of water. How much more water is needed to fill it?

    Answer: 8 ℓ

    The tank holds 40 × 25 × 20 = 20000 cm³ = 20 ℓ, and 20 − 12 = 8 ℓ more is needed.

  6. 8 litres of water are poured into an empty tank whose base is 20 cm by 10 cm. What is the height of the water?

    Answer: 40 cm

    8 ℓ = 8000 cm³, and 8000 ÷ (20 × 10) = 40 cm.

  7. A jug holds 3500 cm³ of juice. How many litres is that?

    Answer: 3.5 ℓ

    1000 cm³ = 1 ℓ, so 3500 cm³ = 3.5 ℓ.

  8. How many 4 cm cubes fit inside a cuboid measuring 12 cm by 8 cm by 8 cm?

    Answer: 12

    The cuboid is 768 cm³ and each cube is 64 cm³, so 768 ÷ 64 = 12 cubes.

  9. A tank 30 cm by 20 cm by 15 cm is full. 6 litres are poured out. What is the new height of the water?

    Answer: 5 cm

    The tank holds 9000 cm³ = 9 ℓ. After 6 ℓ are poured out, 3 ℓ = 3000 cm³ remain, and 3000 ÷ 600 = 5 cm.

  10. A 4 cm by 4 cm by 10 cm hole is cut right through a 10 cm cube. What volume of the cube remains?

    Answer: 840 cm³

    The cube is 1000 cm³ and the hole is 160 cm³, so 1000 − 160 = 840 cm³ remains.