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Three dimensions of cuboid are , and . Draw an isometric sketch of this cuboid and hence find the volume of the cuboid.

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{cm}^{3}

{cm}^{3}

{cm}^{3}

125

{cm}^{3}

answer is B.

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Detailed Solution

The volume of cuboid,

Where,

= Length of the cuboid

= breadth of the cuboid

= Height of the cuboid
It is given that three dimensions of the cuboid are

and

.
We need to first draw an isometric sketch of this cuboid and hence find out the volume of the cuboid.
An isometric drawing is a type of

drawing that is set out using

degree angles. It’s a type of axonometric drawing in which the same scale is used for every axis, resulting in a non-distorted image.
Question Image

Here,

= Length of the cuboid =

= breadth of the cuboid =

= Height of the cuboid =

Using the formula of the volume of cuboid we have,
The volume of cuboid,

Therefore, the volume of a cuboid is

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