Question

the surface area of cube is 60cm. find its volume​

Answer 1

Answer:

Look at the picture...

• The volume is 10√10 cm^3

Answer 2

Given ,

Total surface area of cube = 60 cm²

We know that , the TSA of cube is given by

$\sf \large \fbox{TSA \: of \: cube = 6 {(a)}^{2} }$

Substitute the values , we obtain

$\sf \hookrightarrow 60 = 6 {(a)}^{2} \\ \\ \sf \hookrightarrow {(a)}^{2} = 10 \\ \\ \sf \hookrightarrow a = \sqrt{10} \: \: cm$

Now , the volume of cube is given by

$\sf \large \fbox{Volume \: of \: cube = {(a)}^{3} }$

Substitute the values , we obtain

$\sf \hookrightarrow Volume = {( \sqrt{10 } )}^{3} \\ \\ \sf \hookrightarrow Volume = 10 \sqrt{10} \: \: {cm}^{3}$

Hence , the volume of cube is 10√10 cm³