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Answer in Brief

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.

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#### Solution 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`

#### Solution 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) = a^{3}

=3^{3}

= 27 cm^{3 }

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 cm^{3}

Concept: Volume of a Cuboid

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