Question

The length, breadth and height of a cuboid are 10 cm, 5 cm, and 3 cm. Find its volume.

Answer 1

Hint: For the above question we will have to know about the cuboid. A cuboid is a closed 3- dimensional geometrical figure bounded by six rectangular plane regions. If the length, breadth and height of a cuboid are l, b and h respectively then its volume is given as follows:
$volume=l\times b\times h\text{ cubic units}\text{.}$

Complete step-by-step solution -
In the above question, we have been given the length, breadth and height are 10 cm, 5 cm and 3 cm respectively. So, we can draw the figure and mark the dimensions as shown below,

Now, we have the dimensions and we know the formula for the volume of the cuboid is $volume=l\times b\times h\text{ cubic units}\text{.}$ So, the volume of the cuboid =\[(10\times 5\times 3)c{{m}^{3}}=150c{{m}^{3}}\]
Therefore, the volume of the cuboid is \[150c{{m}^{3}}\].

Note: Remember the fact about the cuboid that it has six faces, eight vertices and twelve edges. The faces of the cuboid are parallel and equal in dimensions. But not all the faces of a cuboid are equal in dimensions. The cuboid is also defined as a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube and a polyhedral graph is the undirected graph formed from the vertices and edges of a convex polyhedron.