Year 8 volume and surface area of prisms test to download as PDF

This Year 8 volume and surface area of prisms test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Volume
Answer all parts. Show your working.
1. Find the volume of a cuboid 9 cm by 6 cm by 5 cm. (1 mark)
2. A triangular prism has a triangle with base 10 cm and height 6 cm, and a length of 15 cm. Find its volume. (2 marks)
3. A tank holds 2.4 m³ of water. How many litres is this? (1 mark)
Question 2 – Surface area
A cuboid is 7 cm by 4 cm by 3 cm.
1. Find the total surface area. (2 marks)
2. A cube has the same surface area. Find the side length to 1 decimal place. (2 marks)
Question 3 – Cylinder
A cylinder has radius 6 cm and height 10 cm. Give answers to 1 decimal place.
1. Find its volume. (2 marks)
2. Find its curved surface area. (2 marks)
Question 4 – Problem: the swimming pool
A swimming pool is a cuboid 15 m long, 8 m wide and 1.4 m deep. It is filled at 3 000 litres per minute.
1. Find the volume in m³. (1 mark)
2. How long does it take to fill? Give your answer in hours and minutes. (3 marks)
Question 5 – Problem: the chocolate box
A box of chocolates is a prism. Its cross-section is a trapezium with parallel sides 6 cm and 10 cm and a height of 4 cm. The box is 25 cm long.
1. Find the volume. (2 marks)
2. The box is wrapped in paper (total surface area). Find the area of paper if the sloping sides are each 4.5 cm. (2 marks)

How to use this Year 8 volume and surface area of prisms test

First, revise with the volume and surface area of prisms lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the volume and surface area of prisms test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 volume and surface area of prisms test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.