Question

Find the volume of a cube if its side is 29m.

Answer 1

Hint: In this question, the length of the side of a cube is 29 m. Volume of a cube is ${a^3}$. So, we will put the value of ‘a’ which is 29. Then we can get the volume of a cube.

Complete step-by-step answer:
All the sides in a cube are equal in length.
Given,
Length of the side of a cube = 29 m
We have volume of cube of side a, $V = {a^3}$
Therefore, volume of cube $ = {a^3} = {\left( {29} \right)^3} = 24,389{m^3}$.

Note: The volume of an object is defined as the amount of space a solid object occupies. We know that a cube is a 3-dimensional object whose all the sides i.e. length, breadth, and height are equal. A cube has six square faces, and each face will have a side of equal length. Volume is measured in “cubic” units. Volume of a cube is directly proportional to its edge. In a cube, there are 12 edges and 6 faces. The surface area of each face is equal and is equal to ${a^2}$. We can also find the surface area of a cube, which is equal to the number of square units that cover the surface of the cube. The formula of surface area for a cube of side ‘a’, is $6{a^2}$. The volume of the cube whose diagonal is given is $\sqrt 3 \times \dfrac{{{d^3}}}{9}$. The main diagonal of a cube is the one that cuts through the Centre of the cube; the diagonal of a face of a cube is not the main diagonal. Diagonal of a cube = $\sqrt 3 x$ where x is the side of the cube.