Find the height of the cuboid if the volume of both the cuboid and the cube shown below are equal.

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Solution

Volume of the cube = side $\times$ side $\times$ side
= 20 $\times$ 20 $\times$ 20
= 8,000 cu cm

Volume of the cuboid = length $\times$ breadth $\times$ height
= 10 $\times$ 10 $\times$ height
= 100 $\times$ height

Volume of cuboid = volume of the cube
So, 100 $\times$ height = 8,000 cu cm
100 $\times$ 80 = 8,000 cu cm
$∴$ Height of the cuboid = 80 cm

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Find the height of the cuboid if the volume of both the cuboid and the cube shown below are equal.

Volume of the cube = side× side× side = 20× 20× 20 = 8,000 cu cm Volume of the cuboid = length× breadth× height = 10× 10× height = 100 × height Volume of cuboid = volume of the cube So, 100 × height = 8,000 cu cm 100 × 80 = 8,000 cu cm ∴ Height of the cuboid = 80 cm