Question

..
cube is 256 m²
The lateral surface area of
the volume of the cube is​

Answer 1

Answer:

$\Large\underline{\underline{\sf{ \color{magenta}{\qquad Given \qquad} }}}$

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

$\huge\bold\star\red{Abhilaksh}\star$

Answer 2

Answer:

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