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There are also volume and surface area of prisms worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

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The surface area of a prism is special because all of the lateral faces are rectangles. To calculate the surface area of a prism, we calculate twice the area of the cross section and add the perimeter of the cross section multiplied by the depth of the prism.

Here we will learn about prisms, including what prisms are, types of prisms, nets of prisms and how to find the volume and surface area of prisms.

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You should always include units in your answer. Remember, volume is measured in units cubed (e.g. mm^3, cm^3, m^3 etc) and surface area is measured in units squared (e.g. mm^2, cm^2, m^2 etc)

A prism is irregular if the cross section is not a regular polygon. For example, the L-shaped prism above is an irregular prism because the cross section is not a regular polygon.

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We can label the vertices (corners) of a prism to help us identify certain edges or faces. Below is an example of a triangular prism where the letters A – F represent the 6 vertices of the prism:

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A cylinder has a height of 5m and a radius of 2m . Calculate the surface area of the cylinder. Write your answer in terms of \pi .

Volume and surface area are different things – volume tells us the space within the shape whereas surface area is the total area of the faces. To find surface area, work out the area of each face and add them together.

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If you unfold a three-dimensional shape and lay it down so that it is flat, the result would be the net of the shape. We can draw a net for any prism.

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A prism shape is a polyhedron (a 3D shape made from polygons) with a constant cross section through one dimension. A prism shape has two congruent faces (identical ends).

You need to make sure all measurements are in the same units before calculating volume or surface area. (E.g. you can’t have some in cm and some in m )

3. The volume of this regular octagonal prism is 360m^3 . The area of the cross section is 45m^2 . Work out the length, L, of the prism.