Question

A volume of a cube is 4913 cm3. find the surface area

Answer 1

volume of a cube = a^3
$4913 = {a}^{3} \\ \sqrt[3]{4913} = a \\ a = 17cm$
surface area of cube =6a^2
$6 \times 17 \times 17 \\ 6 \times 289 \\ 1734cm {}^{2}$

Answer 2

Dear Student,

● Answer -

Surface area of the cube = 1734 cm^2

● Explanation -

Let x be length of side of the cube.

Volume of cube is given by formula -

Volume of cube = x^3

4913 = x^3

x = 17 cm

So surface area of the cube -

Surface area of cube = 6x^2

Surface area of the cube = 6 × 17^2

Surface area of the cube = 6 × 289

Surface area of the cube = 1734 cm^2

Hence, the surface area of the cube is 1734 cm^2

Thanks dear. Hope this helps you...