Question

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

Answer 1

Edge = a
Surface area = 6a² = 486 cm²

6a² = 486 cm²

a² = 486 /6

a² = 81

a = √81

a = 9 cm

Edge = a = 9 cm

Volume = a³ = 9³ = 729 cm³

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Answer 2

Answer :

729 cm³

Step-by-step explanation :

We know that ;

Surface area of cube = 6 a²

But, according to the question,

Surface area if cube = 486 cm²

⇒ 6 a²  = 486 cm²

⇒ a² = 486 / 6

⇒ a² = 81

⇒ a = √81

⇒ a = 9

Now, side of cube = 9 cm.

Volume of cube = a³

= 9 * 9 * 9

= 729 cm³

Hence, the volume of cube is 729 cm³