Question

2. Find the volume of the cube, if one face of the cube has an area of 121 sq. m.


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Answer 1

$\Large{ \underline{ \bf{Required \: answer:}}}$

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:

$\large{ \boxed{ \sf{ \purple{1331 {m}^{3} }}}}$

Answer 2

Question

Find the volume of the cube, if one face of the cube has an area of 121 m².

Solution

Area of one face of a cube = 121m²

We know that one face of cube looks like a square. Here we have to use the formula for area of square.

Let, one face of the cube be s

ATP

${s}^{2} = 121 \\ = ) \: s = \sqrt{121} \\ = ) \: s = 11$

Side = 11m

Volume of the cube = (11×11×11)m² = 1331m²

Learn More

Surface area of cuboid = 2(lb+bh+lh)

Surface area of cube = 6(side)²

Area of four walls = 2(l+b)h

Lateral surface area of cuboid = 2(l+b)h

Lateral surface area of cube = 4(side)²