Welcome to My Bitesize, let's get you set up!

Add your subjects to find the right study guides, track progress and keep everything in one place.

Add my subjects
My Subjects

3-dimensional solids - OCRPrisms

3-dimensional solids have faces, edges and vertices. Volume is the space contained within a 3D solid. Surface area is the sum of the area of each face. 3D solids can be viewed from different points.

Part ofMathsGeometry and measure

Prisms

Find the updated revision resources for GCSE Maths: Volume of prisms, with step-by-step slideshows, quizzes, practice exam questions, and more!

If a rectangular loaf of bread was cut into slices, the shape and size of each slice would be the same. The loaf is very close to being a prism.

A prism has a which is exactly the same shape and size throughout its length.

A triangular prism has a triangular cross-section.

To calculate the of a prism, first calculate the area of the cross-section.

Dimensions of a triangular prism

\(\frac{1}{2} \times 5 \times 2 = 5~\text{cm}^2\)

Multiply the area of the cross-section by the length.

\(5 \times 4 = 20~\text{cm}^3\)

\(\text{Volume of a prism} = \text{area of the cross-section} \times \text{length}\)