Volume of a Prism worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
-
5 marks
The diagram shows a triangular prism.
(a)Write down the number of faces.
(b)Write down the number of edges.
(c)Write down the number of vertices.
(d)Work out the volume of the prism.
-
3 marks
A storage box is a cuboid measuring \(20\) cm by \(40\) cm by \(30\) cm.
(a)Calculate the volume of the storage box.
Give your answer in cm\(^3\).
(b)\(1\) litre is \(1000\ \text{cm}^3\).
Calculate the capacity of the storage box in litres.
-
2 marks
The diagram shows a solid cylinder with a diameter of \(10\) cm and a height of \(12\) cm.
Find the volume of the cylinder.
Give your answer in terms of \(\pi\).
-
4 marks
The diagram shows the cross-section of a prism.
The prism is \(8\) cm long.
(a)Work out the area of the cross-section.
(b)Work out the volume of the prism.
-
4 marks
Here is the cross-section of a prism.
The volume of the prism is \(105\ \text{cm}^3\).
(a)Find the area of the cross-section.
(b)Find the length of the prism.
-
5 marks
The diagram shows a triangular prism.
(a)Write down the number of faces.
(b)Write down the number of edges.
(c)Write down the number of vertices.
(d)Calculate the volume of the prism.
-
3 marks
A storage box is a cuboid measuring \(20\) cm by \(50\) cm by \(40\) cm.
(a)Calculate the volume of the storage box.
Give your answer in cm\(^3\).
(b)\(1\) litre is \(1000\ \text{cm}^3\).
Calculate the capacity of the storage box in litres.
-
2 marks
A solid cylinder is \(12\) cm tall. The circle at each end has a diameter of \(14\) cm.
Calculate the volume of the cylinder, leaving your answer in terms of \(\pi\).
-
4 marks
The diagram shows the cross-section of a prism.
The prism is \(7\) cm long.
(a)Calculate the area of the cross-section.
(b)Calculate the volume of the prism.
-
4 marks
The diagram shows the cross-section of a prism.
The volume of the prism is \(204\ \text{cm}^3\).
(a)Calculate the area of the cross-section.
(b)Calculate the length of the prism.
Answers
-
(a) \(5\)
(b) \(9\)
(c) \(6\)
(d) \(176\ \text{cm³}\) -
(a) \(24000\ \text{cm}^3\)
(b) \(24\ \text{litres}\) - \(300\pi\ \text{cm}^3\)
-
(a) \(54\ \text{cm}^2\)
(b) \(432\ \text{cm}^3\) -
(a) \(21\ \text{cm}^2\)
(b) \(5\ \text{cm}\) -
(a) \(5\)
(b) \(9\)
(c) \(6\)
(d) \(72\ \text{cm³}\) -
(a) \(40000\ \text{cm}^3\)
(b) \(40\ \text{litres}\) - \(588\pi\ \text{cm}^3\)
-
(a) \(52\ \text{cm}^2\)
(b) \(364\ \text{cm}^3\) -
(a) \(12\ \text{cm}^2\)
(b) \(17\ \text{cm}\)