Question

find the volume of cube if one face of the cube has an area of 121m^2 ​

Answer 1

$\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {Answer}}}$

We know that, a side of a cube is in the shape of a square which will have all the sides equal.

Then,

⇒ Side × Side = 121 m²

⇒ Side² = 11² m²

⇒ Side = √11² m

⇒ Side = 11 m

The side of the square is one of the edge of the cube. All the twelve edges of the cube are equal (L = B = H).

Finding volume:

⇒ Volume of the cube = Side³

⇒ Volume of the cube = (11 m)³

⇒ Volume of the cube = 1331 m³

Hence,

The required volume of the cube is:

$\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {1331m³}}}$