Question

A child playing with building blocks, which are of the shape of the cubes, has built a structure as shown in Fig. 18.12. If the edge of each cube is 3 cm, find the volume of the structure built by the child.

Answer 1

The volume of the structure is $\mathbf{405 \ cm^{3}}$

Step-by-step explanation:

• Given data

        Side of each cube (a) = 3 cm

        Total number of cube in structure (N) = 5+4+3+2+1 =15

• We know that

        Volume of one cube $\mathbf{(V)=(side)^{3}=a^{3}}$

        So

        Volume of one cube $\mathbf{(V)=(3)^{3}=27}$

• Volume of total structure = N×V

        Volume of total structure = 15×27 $\mathbf{=405 \ cm^{3}}$