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A prism has the same 2D shape all the way through, so the repeated face is called the cross-section. The distance it extends is the length or depth of the prism.
To find the volume, first work out the area of the cross-section, then multiply by the prism length. Use V=A×LV = A \times LV=A×L, and write the answer in cubic units such as cm3\text{cm}^{3}cm3 or m3\text{m}^{3}m3.
Question 1
3 marksThe diagram shows a prism.
Given cross-section area AAA and prism length LLL, what is the prism volume?
Revision notes for Edexcel GCSE Maths Volume of a Prism. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.
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A triangular prism has a right-angled cross-section with perpendicular sides of 5 cm5\text{ cm}5 cm and 12 cm12\text{ cm}12 cm. The prism is 8 cm8\text{ cm}8 cm long. What is its volume?