Question

Find the volume of a cube whose surface area is  96 cm².

Answer 1

\[\text { Surface area of the given cube = 96 } {cm}^2 \]

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

\[ \Rightarrow 6 \times\text {  (side ) }^2 = 96\]

\[ \Rightarrow\text {  (side ) }^2 =\frac{96}{6} = 16 \]

\[\text { i . e . , side of the cube  }= \sqrt{16} = 4 cm\]

\[ \therefore\text {  Volume of the cube = (side ) }^3 = (4 )^3 = 64 {cm}^3 \]