Question

If the total surface area of a cube is 486 cm sq, find its volume?

Answer 1

Answer:

formula of tsa of cube is 6a^2

so 6a^2=486

a^2=486/6

a^2=81

a=under root of 81

a=9

formula of volume of cube is a^3

so 9^3=729

Step-by-step explanation:

Answer 2

Solution :

Find Side of the Cube in order to obtained it's volume

Total Surface area of the cube = 6 * ( Side)^2

Given ,

T.S.A = 486

By Equating

6 * x^2 = 486

⇒ x^2 = 486

⇒ x^2 = 486/6

⇒ x^2 = 81

⇒ x = √81

⇒ x = 9

Finding the volume of the Cube

Volume of Cube = Side^3

(x * x * x)^3

⇒ ( 9 × 9 × 9 )^3

⇒ 729 cm^3

Answer :

Therefore , Volume of Cube is 729 cm^3