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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.
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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) = 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
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