Measurement: Surface Area, Volume and Capacity

Surface area, volume and capacity in both SI and imperial units, including the cone-to-cylinder and pyramid-to-prism relationships.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. A closed rectangular crate measures 40 cm long, 25 cm wide and 15 cm high. How much cardboard is needed to cover all six faces, in square centimetres?
  2. A cylindrical drum has a radius of 15 cm and a height of 40 cm. What is its volume, in cubic centimetres, rounded to the nearest whole number?
  3. That same drum is filled with water. Given that 1 000 cm³ of water is 1 litre, what is the drum's capacity in litres, rounded to one decimal place?
  4. A storage room measures 12 ft long, 10 ft wide and 8 ft high. What is its volume, in cubic feet?
  5. A cone and a cylinder have the same circular base and the same height. The cylinder holds 900 cm³. How many cubic centimetres does the cone hold?
  6. A spherical tank has a radius of 7 m. What is its surface area, in square metres, rounded to one decimal place?
  7. A landscaper orders 5 cubic yards of gravel. There are 27 cubic feet in a cubic yard. How many cubic feet of gravel is that?
  8. A rectangular water trough measures 1.2 m long, 0.8 m wide and 0.5 m deep. Given that 1 m³ holds 1 000 L, what is the trough's capacity in litres?

Answer these free