Question

The cuboid has dimensions (80 × 20 × 40 ) in cm. If its volume is equal to the volume of the cube, then the edge of the cube is ………..
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Answer 1

Here we are given the dimensions of the cuboid to be 80 × 20 × 40.

We have to find the edge length of cube

According to the question, the volume of cuboid is equal to the volume of cube

So,

volume of cuboid = volume of cube

$length \times breadth \times height \: = {(side)}^{3}$

$80 \times 20 \times 40 = {(side)}^{3} \\ 64000 = {(side)}^{3 }$

Therefore,

$side = \sqrt[3]{64000} \\ side = 40$

So, edge length of the cube will be 40 cm.