What are the possible expressions for the dimensions of the cuboid is given below?
Volume : $3 x^{2}-12 x$

Given :

The volume of the cuboid $=3 x^{2}-12 x$

To find :

We have to find the possible dimensions of the cuboid.

Solution :

Factorisation of $3 x^{2}-12 x$ is,

$3 x^{2}-12 x= 3x(x-4)$

                 $= (3)(x)(x-4)$

We know that,

$$Volume of a cuboid = length \times breadth \times height$$

Therefore,

The possible dimensions of the given cuboid are $3, x$ and $x-4$.

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Updated on: 10-Oct-2022

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