Question

A child playing with building blocks, which are of the shapes of cubes, has built a structure as shown in the figure, If the edge of each cube is $13cm$. Find the volume of the structure built by the child.

Answer 1

Hint: Focus on the point that the volume of a cube is equal to the cube of the length of its side.
We will get the result.
We will use the below formula
${\text{Volume of the structure}}$ =${\text{Number of cubes}} \times {\text{Volume of the one cube}}$

Complete step-by-step answer:
To start with the solution we have to draw the figure of the cube for better visualization.

To start with the solution, we have the length of the its each side is $13cm$
We can counted from the figure that the cubes in the figures are $10$
Number of cubes in the figures =$10$
Therefore, According to the question, we need to find the volume of the structure built by the child
Here we have to the volume of the cube is ${a^3}$
Since the edge of each cube is $13cm$
Volume of $1$ cube =${a^3} = {13^3} = 2197c{m^3}$
Therefore,
Volume of the structure = Number of cubes × Volume of $1$ cube
=$10 \times 2197$
We multiply both the terms, to get the results
 =$21970c{m^3}$
Therefore the volumes of the given figure is $21970c{m^3}$

Hence, the volume of the structure built by the child is $21970c{m^3}$

Note: Make sure to convert all the dimensions to a standard system of units, this decreases the chances of mistakes.
It would also help if we remembered all the basic formulas for volume of the general $3 - D$ shapes like the cone, cube, cylinder …. Etc.