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Question

Rachana makes a cuboid of plasticine of sides 5cm,2cm and 5cm.

How many such cuboids will she need to form a cube?


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Solution

Let length of cuboid is l, breadth of cuboid is b and height of cuboid is h

Let

l=5cm, b=2cm,h=5cm

We know that

Volume of cuboid =lbh

Volume of cuboid =5×2×5cm3=50cm3

Now

LCM of 5,2,5=10

The least length of cube (a) =10cm

Volume of cube =a3

=103

=1000cm3

Number of cuboids required to make the bigger cube = VolumeofcubeVolumeofcuboid

=100050

=20

Hence 20 such cuboids are required to make a cube


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