Parikshit makes a cuboid of plasticine …
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Payal Singh 8 years ago
Volume of the cuboid of sides 5 cm, 2 cm, 5 cm = 5 cm ☓ 2 cm ☓ 5 cm = (5 ☓ 5 ☓ 2) cm3
Here, two 5s and one 2 are left which do not form a triplet.
To make it a pefect cube, multiply this expression by 2 ☓ 2 ☓ 5 = 20,
then it will become a perfect cube. i.e. (5 ☓ 5 ☓ 2 ☓ 2 ☓ 2 ☓ 5) = (5 ☓ 5 ☓ 5 ☓ 2 ☓ 2 ☓ 2) = 1000 is a perfect cube.
Therefore 20 cuboids of 5 cm, 2 cm, 5 cm are required to form a cube.
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