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# Find the length of the side of a cube whose total surface area measures 600 cm^{2}

**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 **

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