Question

Find the area of a metal sheet required to make a cube of length 2m. Find the cost of metal sheet required at the rate of Rs. 8/${m^2}$ to make the cube.

Answer 1

Hint:
First, find the total surface area of the cube using the formula, by $6{a^2}$, where $a$ is the side of the cube and the length of the cube is 6m. Then, multiply the rate of making a cube by the total area to find the total cost of making a cube.

Complete step by step solution:
We have to find the area of the metal sheet required to make a cube of the length of 2m.
Then, we will calculate the total surface area of the cube.
As it is known that the total surface area of the cube will be given by $6{a^2}$, where $a$ is the side of the cube.
Then, the total surface area of the cube is $6{\left( 2 \right)^2} = 24{m^2}$
Now, we are given that the cost of making a cube is Rs. 8/${m^2}$.
Then, multiply the cost by the total surface of the cube to find the total cost of making the cube.
$24 \times 8 = 192$

Hence, the cost of making a cube is Rs. 192.

Note:
Sometimes just to finish the question in a hurry students solve questions only till finding the surface area. We need to solve the question completely till finding the cost. Since the problem is regarding the making of a cube, we will have to consider the total surface area which is the area of all the faces of the cube. The area is always measured in square units.