Question

A metallic cuboid measuring 0.12x *0.09 *0.02 is a melted and formed into a cube. Find the side of the cube

Answer 1

Step-by-step explanation:

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let the side of cube be x cm

Always remember that when when one shape is melted into the other shape, their volumes are always be assumed Equal.

$volume \: of \: cuboid \: = volume \: of \: cube \\ \\ 0.12 \times 0.09 \times 0.09 = {x}^{3} \\ \\ \frac{12}{100} \times \frac{9}{100} \times \frac{2}{100} = {x}^{3} \\ \\ \frac{216}{1000000} = {x}^{3} \\ \\ x = \frac{6}{100} = 0.06 \: \: cm$

Side of Cube = 0.06 Cm