Find the length of the side of a cube whose total surface area measures 600 cm²

Given: Total surface area of cube is 600cm sq

To do: Find the length of the side of a cube.

Solution:

The total surface area of a cube of an edge 'a' units is = $6a^{2}$ square units

Given total surface area of a cube = $6a^{2}$ = 600

$a^{2} = \frac{600}{6}$ = 100 square cm

Taking square roots on both sides of the equation.

So, side or edge of the cube, a = 10 cm