Write the algebraic expression for the volume of a cube, if its side (a) is reduced by 5.

(a+5)³

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(a-5)³

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(a³-5)

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(a-5³)

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Solution

The correct option is B
(a-5)³

Volume is measured in cubic units. The volume of the given figure is the number of cubes required to fill it completely, like blocks in a box.

Volume of a cube = side $\times$ side $\times$ side = (side) $^{3}$

Volume of a cube = (a) $^{3}$

If the side (a) of a cube is reduced by 5, then the volume of a cube will be (a-5) $^{3}$ .

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