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

Volume of each cube = edge x edge x edge
`=3xx3xx3cm^3=27cm^3`

Number of cubes in the surface structure= 15
∴Volume of the structure = `27xx15cm^3`

`=405cm^3`

Answer 2

We have,

Number of boxes (n) = 15

In the above structure we need to find the total volume

Edge of each cube (a) = 3 cm

Volume of each cube(v) = a³

=3³

= 27 cm³ 

Hence, total volume of the structure,

`V=n xx v`

  `=15 xx27`

  `=405  cm^3 `

The volume of the structure built by the child is.405 cm³