Question

The volume of a cube is 2744 cm². Its surface area is
(a) 196 cm²
(b) 1176 cm²
(c) 784 cm²
(d) 588 cm²

Answer 1

(b) 1176 cm²
Let the edge of the cube be a cm.
Then, volume of the cube = a³
Or,
$$\begin{gathered} a^3=2744 \\ {a}^3=\left(2^3\times 7^3\right) \\ a=2\times 7 \\ a=14\text{cm} \end{gathered}$$

Therefore, surface area of the cube$=6a^2$
$$\begin{gathered} =\left(6\times 14\times 14\right){\text{cm}}^2 \\ =1176{\text{cm}}^2 \end{gathered}$$