Question

The area of one face of a cube is 81 cm².What is the volume of the cube? *

Answer 1

Answer:

729cm^3

Step-by-step explanation:

area of cube = a^2 = 81cm^2

a= √81 = 9cm

volume = a^3 = 9^3 = 729cm^3

please mark BRAINIEST

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Volume\:of\:cube=729\:cm^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Area \: of \: one \: side \: of \: cube = 81 \: {cm}^{2} \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Volume \: of \: cube = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Area \: of \: side = 81 \: {cm}^{2} \\ \\ \tt: \implies {a}^{2} = 81 \\ \\ \tt: \implies a = \sqrt{81} \\ \\ \green{\tt: \implies a = 9 \: cm} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cube = {a}^{3} \\ \\ \tt: \implies Volume \: of \: cube = {9}^{3} \\ \\ \green{\tt: \implies Volume \: of \: cube = 729 \: {cm}^{3}}$