Question

Find the volume of a cube whose surface area is 150 m² .

Answer 1

\[\text { Surface area of the given cube = 150 } m^2 \]

\[\text { Surface area of a cube = 6  }\times \text { (side ) }^2 \]

\[ \Rightarrow 6 \times \text { (side ) }^2 = 150\]

\[ \Rightarrow \text { (side ) }^2 =\frac{150}{6} = 25 \]

\[\text { i . e . , side of the cube } = \sqrt{25} = 5 m\]

\[ \therefore \text { Volume of the cube = (side ) }^3 = (5 )^3 = 125 m^3\]