Question

the surface area of a cube is 384cm, than the volume of cube is​

Answer 1

Answer:

Volume of cube=512cm³

Step-by-step explanation:

T.S.A. of cube=384cm²

6a²=384

a²=384/6

a²=64

a=√64

a=8cm

Volume of cube

=a³

=(8)³

=512cm³

Answer 2

$\huge\bold\green{AnsWer}$

$Volume \: of \: cube = 512 \: m {}^{3}$

Given,

Surface area of cube = 384 cm

To find :

Volume of cube

$T.S.A \: of \: cube = 6 × (side) {}^{2} \\ </p><p> </p><p> \\ 384 = 6 × (side) {}^{2} \\ \\ </p><p></p><p> \sqrt{} 64 = 8 \\ \\ </p><p></p><p>Hence, \\ </p><p> Side = 8 \: cm \\ \\ </p><p></p><p>Volume = (side) {}^{3} \\ \\ </p><p></p><p>8 {}^{3} = 512m {}^{3}$

$\therefore \: volume \: of \: cube \: = \: 512 \: m {}^{3}$