Question

If the volume of a cube is 1000cm3

, then find its lateral surface area​

Answer 1

Answer:

Volume of cube = 1000cm^3

$volume \: of \: cube = {a}^{3}$

$1000 = {a}^{3}$

$\sqrt[3]{1000} = a$

$10cm = a$

$lateral \: surface \: area = 4 {a}^{2}$

$lateral \: surface \: area = 4( {10)}^{2}$

$lateral \: surface \: area = 4 \times 100$

$lateral \: surface \: area = 400 {cm}^{2}$

Answer 2

$\sf \Large Solution!!$

Volume of cube = 1000 cm³

Volume = (Side)³

1000 cm³ = (Side)³

Side = $\sf \sqrt[3]{1000\:cm^{3}}$

Side = 10 cm

Lateral surface area = 4(Side)²

Lateral surface area = 4(10 cm)²

Lateral surface area = 400 cm²