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Volume of a Prism

Volume of a Prism

A prism is a 3D solid. It has the same cross-section along its entire length: if the prism is cut at right angles to its length at any point, then it has the same face on the cut sections as it does at each end.

The area of a prism is:

Volume = cross-sectional area x length

Volume of a prism

Example 1

The cross-sectional area of a prism is 20 cm2. The length of the prism is 5cm. What is the volume of the prism?

The volume of a prism is cross-sectional area x length

V = 20 x 5 = 100

Answer: 100cm3

Example 2

A prism is 15cm long. The volume of the prism is 345cm3. What is the cross-sectional area of the prism?

For a Prism Volume = Area x Length
Substitute `345` = `A xx 15`
Divide both sides by 15 `23` `= text(Area)`

Answer: 23cm2