Question

the vloume of a cube is 512 cm^3. find its surface area.​

Answer 1

Answer:

If volume of the cube is 512, then its side length ,a=3V=512=8  cm

Hence its total surface are =6(a2)=6(8)2=384 cm sq.

Step-by-step explanation:

I think this is the answer ...........

Answer 2

$\large{\underline{\sf{\blue{Given-}}}}$

• Volume of cube = 512cm³

$\large{\underline{\sf{\blue{To \: Find-}}}}$

• Surface Area of the cube.

$\large{\underline{\sf{\blue{Solution-}}}}$

We know that,

$\large{\boxed{\sf{volume \: of \: cube \: = {side}^{3} }}}$

So,

$\implies \sf{ {side}^{3} = 512}$

$\implies \sf{side = 8cm}$

★ Formula For Surface of a cube :

$\boxed {\implies\sf\red{surface \: area \: of \: cube \: 6 {a}^{2} }}$

Placing Values,

$\implies \sf{6 \times {8}^{2} }$

$\implies \sf{6 \times 64}$

$\boxed { \: \implies\sf \red {384 {cm}^{2} }}$

⛬ $\sf{Surface \: Area \: Of \: cube \: is \: 384cm².}$