What are the possible expressions for the dimensions of the cuboid whose volume is $3x^2 - 12x$.

Given:

Volume of a cuboid is given by $3x^2 - 12x$.

To do :

We have to find the possible expressions for the dimensions of the cuboid.

Solution :

We know that,

Volume of a cuboid of length $l$, breadth $b$ and height $h$ is $lbh$.

Therefore, factorizing the given expression, we get,

Volume $=3x^2 - 12x$

$=3x(x-4)$

$=3 \times x \times (x-4)$

Hence, possible expressions for the dimensions of the cuboid whose volume is $3x^2 - 12x$ are $3, x$ and $(x-4)$.

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Updated on: 10-Oct-2022

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