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

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

1. A
20 ${\mathit{cm}}^{3}$
2. B
60 ${\mathit{cm}}^{3}$
3. C
64 ${\mathit{cm}}^{3}$
4. D
125 ${\mathit{cm}}^{3}$

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### Solution:

The volume of cuboid,
Where,
= Length 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.
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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