Practice Maths

Topic Review — Volume of Prisms

Mixed Practice — L51 – L53

This review covers all lessons in the Volume of Prisms topic. Try each question before checking your answers.

Review Questions

  1. Volume units and conversion. Fluency

    1. Convert 5.2 m3 to cm3.
    2. Convert 3 500 000 cm3 to m3.
    3. Convert 4500 mL to litres.
    4. Convert 2.8 L to mL.
    5. Convert 7 L to cm3.
    6. A tank holds 12 000 cm3. How many litres is this?
    7. Convert 0.045 m3 to litres.
    8. Convert 1.5 km3 to m3. (1 km = 1000 m)

  2. Volume of prisms. Fluency

    1. Find the volume of a rectangular prism with length 8 cm, width 5 cm, height 3 cm.
    2. Find the volume of a triangular prism with a right-angled triangular cross-section (base 6 cm, height 4 cm) and length 10 cm.
    3. Find the volume of a cube with side length 7 cm.
    4. A prism has a trapezoidal cross-section with parallel sides 5 cm and 9 cm, and height 4 cm. The prism is 12 cm long. Find the volume.
    5. A rectangular prism has a volume of 360 cm3, length 12 cm and width 6 cm. Find the height.
    6. Find the volume of a triangular prism with an equilateral triangular cross-section of side 6 cm (use area = 15.6 cm2) and length 20 cm.

  3. Volume applications. Understanding

    1. A fish tank is 60 cm long, 30 cm wide and 40 cm tall. How many litres of water does it hold when full?
    2. The tank from (a) is filled to 75% capacity. What volume of water (in litres) is in the tank?
    3. A triangular prism-shaped tent has a triangular end with base 3 m and height 2 m. The tent is 5 m long. Find the volume of air inside the tent.
    4. A swimming pool is 25 m long, 10 m wide and has a uniform depth of 1.5 m. Find the volume in m3 and convert to litres.
    5. A chocolate bar is shaped like a triangular prism. The triangular face has base 4 cm and height 3 cm. The bar is 15 cm long. Find the volume.

  4. Problem solving with volume. Problem Solving

    1. A rectangular box has dimensions 20 cm × 15 cm × 10 cm. Small cubes with side length 2.5 cm are packed into the box. How many cubes fit in the box? Show your working.
    2. A builder needs to pour a concrete path. The path is 15 m long and 1.2 m wide. The concrete needs to be 10 cm deep.
      1. Calculate the volume of concrete needed in m3.
      2. Concrete costs $180 per m3. What is the total cost?
    3. A storage container is shaped like a triangular prism. The triangular cross-section has a base of 2.4 m and a perpendicular height of 1.8 m. The container is 6 m long.
      1. Find the volume in m3.
      2. Convert the volume to litres.
      3. If the container is 60% full of grain, what volume of grain (in m3) is stored?
    4. Two containers both hold 1200 cm3. Container A is a rectangular prism with a square base of side 10 cm. Container B is a triangular prism with a right-angled isosceles triangular cross-section where both legs are 8 cm. Find the height of Container A and the length of Container B.
See Answers ➔