Question

Find the volume of a cube whose total surface area is 486cm2

Answer 1

Answer:

$729{cm}^{3}$

Step-by-step explanation:

486=6a²

486=6a²81=a²

486=6a²81=a²a=9cm

486=6a²81=a²a=9cmVolume of cube =a³

486=6a²81=a²a=9cmVolume of cube =a³=9³

486=6a²81=a²a=9cmVolume of cube =a³=9³=729cm³

Answer 2

Answer: The answer is 729 cm³

Step-by-step explanation:

Given, total surface area of a cube is 486 cm²

Let, the side of the cube is a cm

We know that, the total surface area of cube = 6a² square units

Then, 6a² = 486

⇒ a² = 486/6

⇒ a = √81

⇒ a = 9

∴The side of the cube is 9 cm.

We know that, the volume of cube = a³ cubic units

∴The volume of the cube = 9³ cm³

= 729 cm³