Question

plzzzzzzzzz help.. ​

Answer 1

$\bf\huge\underline{Explanation :-}$

Given :-

Lateral surface area of cube = 256 cm²

To find :-

Volume of the cube.

Solution :-

Let one side of the cube be 'x'

We know that,

$\boxed{\sf Lateral \: surface \: area \: of \: cube = 4 \times {side}^{2}}$

By putting the values,

$\sf\longrightarrow 4 \times {x}^{2} = 256$

$\sf\longrightarrow {x}^{2} = \dfrac{256}{4}$

$\sf\longrightarrow {x}^{2} = 64$

$\sf\longrightarrow x = \sqrt{64}$

$\boxed{\sf \therefore x = 8}$

Hence, one side of the cube is 8 cm.

Now, We know that,

$\boxed{\underline{\sf Volume = {x}^{3} sq.unit}}$

$\sf\longrightarrow Volume = {8}^{3} {cm}^{3}$

$\boxed{\sf \therefore Volume = 512 {cm}^{3}}$

Hence, volume of the cube is 512 cm³ respectively.

$\bf\huge\underline{More \: formulas :-}$

Total surface area of cube = 6x² sq.unit

Total surface area of cuboid = 2(lb + lh + bh) sq.unit

Volume of cuboid = (l × b × h) cu.unit

Answer 2

Given, lateral surface area of a cube = 256 m2

We know that, lateral surface area of a cube = 4 x (Side)2

⇒ 256 = 4 x (Side)2

⇒ (Side)2 = 256/4 = 64

⇒ Side = √64 = 8 m

[taking positive square root because side is always a positive quantity]

Now, volume of a cube = (Side)3 = (8)3 = 8 x 8 x 8 = 512 m3

Hence, the volume of the cube is 512 m3.

.

.

.

please mark me as brainliest