Question

A metal sheet $27cm$ long, $8cm$ broad, and $1cm$ thick is melted into a cube. What is the side of the cube?

Answer 1

A cube is a three-dimensional shape that is defined in the $XYZ$ plane. It has six faces, eight vertices, and twelve edges. All the faces of the cube are in square shape and have equal dimensions.

Given that, the metal sheet dimension is $27cm$ long, $8cm$ broad and $1cm$ thick.

Thus, the volume of the sheet $=27\times 8\times 1=216c{m}^3$

It is given that, the metal sheet is melted to make a cube so the volume of the sheet will be equal to the volume of the cube.

Let the edge be $\text{'}a\text{'}$

So,$$\begin{gathered} a^3=216c{m}^3 \\ a=6cm \end{gathered}$$

Hence, the edge of the cube is $6cm$.