Question

The total surface area of a cube is 726 CM square find its volume

Answer 1

Answer :

The length of its edge is 11 cm.

Step-by-step explanation :

Total surface area of cube = 6 ( side )²

∴ 6 ( side )² = 726

⇒ ( side )² = 726 / 6

⇒ ( side )² = 121

⇒ side = √ 121

⇒ side = 11 cm

Now,

Volume of cube = ( side )³

⇒ Volume = ( 11 × 11 × 11 ) cm³

⇒ Volume = 1331 cm³

Answer 2

Given

Total surface area of a cube is 726 cm

To find

The volume of a cube

Solution

We can simply solve this mathematical problem using the following mathematical process.

The volume of a cube = $a^{3}$

The total surface area of the cube = 6$a^{2}$, where a is the edge of the cube

The length of its edge is 11 cm.

Total surface area of cube = 6 ( side )²

∴ 6 ( side )² = 726

⇒ ( side )² = 726 / 6

⇒ ( side )² = 121

⇒ side = √ 121

⇒ side = 11 cm

Now,

Volume of cube = ( side )³

⇒ Volume = ( 11 × 11 × 11 ) cm³

⇒ Volume = 1331 cm³

Hence, the Volume of the cube is 1331 cm³