Question

If the volume of a cube is 512 cm, then the lateral surface area is​

Answer 1

Step-by-step explanation:

Given,

volume of cube = 512 cm³

Side of cube = 3√512cm³

= 8cm

Surface area of one face = side²

= 64cm³

Lateral surface area = 4×area

= 256cm³

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Answer 2

$\bf {\huge {\underline {\boxed {\sf\pink {Answer: 256 {cm}^2}}}}}$

$\textbf {\underline {\underline {Step\: - by\: - step\: explanation:}}}$

____________________________________

$\huge\sf\blue {Given :}$

▪ Volume of cube = 512 cm

$\huge\sf\blue {To \: Find :}$

Lateral surface area ( L.S.A ) of the given cube.

$\huge\sf\blue {Solution :}$

Volume of cube = ${(side)}^3$

512 = ${(side)}^3$

Side = $3\sqrt{512}$

= 8 cm

So,

Side of the given cube is 8 cm

Now,

Lateral surface area of cube = ${4}{(side)}^2$

= ${4} {(8)}^2$

= 4 × 64

= 256 ${cm}^2$

$\therefore$ Lateral surface area of cube is 256 ${cm}^2$

$\huge\mathscr\red {Be \:Brainly!!!}$