Question

If the volume of a cube is 729cm cube then what will be its surface area

Answer 1

Volume of a cube= (side)³
729=(side)³
side of the cube = 9cm.
Total Surface area of a cube = 6(a)²
=6(9)²= 6*81= 486cm².

You should have provided if we had to take out total surface area or lateral surface area. Anyways, hope it helps you!

Answer 2

Given:

• the volume of the cube is 729cm³

To Find:

• the surface area of the cube.

Understanding the question:

✬ we know that surface area of a cube is 6(side)²✬

➷ so now we have to find the measure of the side of the square with the given volume:

Solution:

$: \implies \sf \: volume = {side}^{3} \\ \\ \\ : \implies \sf \: 729 = {side}^{3} \: \: \: \: \\ \\ \\: \implies \sf \: \sqrt[3]{729} = side \: \: \\ \\ \\ : \implies \sf \: 9cm = side \: \: \:$

$\sf \underline{ \bigstar \: hence \: the \: side \: of \: the \: cube = 9cm}$

now let's find its surface area:

$: \implies \sf \: \: surface \: area = 6(side) ^{2} \\ \\ \\ : \implies \sf \: \: surface \: area = 6(9) ^{2} \: \: \: \: \\ \\ \\ : \implies \sf \: surface \: area = 6 \times 81 \: \: \\ \\ \\ : \implies \sf \: \: surface \: area = {486}^{2} \: \: \: \: \:$

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \therefore \: the \: surface \: area \: of \: cube = {468}^{2} }}}}}$