Question

The surface area of a cube is $294c{m}^2$. Find :

(i) the length of an edge
(ii) volume of the cube.

Answer 1

STEP 1 : Finding the length of an edge of the cube

(i) Surface area of a cube$=294c{m}^2$

Length of an edge (side) of the cube $=\sqrt{\frac{SurfaceArea}{6}}$

Length of an edge (side) of the cube $=\sqrt{\frac{294}{6}}=\sqrt{49}$

Length of an edge (side) of the cube $=7cm$

Hence, the length of an edge is $7cm$.

STEP 2 : Finding the volume of the cube

Volume of a cube $=sid{e}^3$

Volume of a cube $=7^3=7\times 7\times 7$

Volume of a cube $=343c{m}^3$

Hence, volume of the cube is $343c{m}^3$.