Question

Find the volume of a cube whose surface area is 216 meter square. Is the numerical value of the surface area same as that of its volume?​

Answer 1

Answer:

Cube

Solve for volume

V≈216m³

A Surface area

216

m²

Yes the numerical value of the surface area same as that of its volume

Step-by-step explanation:

hope this helps you

Answer 2

Answer:

$\bigstar{\bold{Volume\:of\:the\:cube=216\:m^{3}}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Surface area of cube = 216 m²

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Volume of the cube

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ First we have to find the side of the cube

→ The TSA of a cube is given by the formula,

   TSA = 6 a²

   where a is a side of the cube

→ Substituting the value of total surface area we get,

  6 a² = 216

     a² = 216/6

     a² = 36

     a = √36

     a = 6 m

→ Now the volume of the cube is given by the formula,

 Volume of the cube = a³

→ Substitute the value of a we get,

   Volume of the cube = 6³

   Volume of the cube = 6 × 6 × 6

   Volume of the cube = 216 m³

→ Hence the volume of the cube is 216 m³

$\boxed{\bold{Volume\:of\:the\:cube=216\:m^{3}}}$

→ Here the numerical value of surface area and volume is same.

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Total surface area of a cube is given by

  TSA of a cube = 6 a²

→ Volume of a cube is given by

  Volume of a cube = a³