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The volume and total surface area of a cube are equal. Find the volume of another cube whose side is 1.5 times the side of original cube?

The volume and total surface area of a cube are equal. Find the volume of another cube whose side is 1.5 times the side of original cube? Correct Answer 729

Given:

Volume of Cube 1 = TSA of Cube 1

Side of Cube 2 = 1.5 × (Side of Cube 1)

Formula used:

TSA of cube = 6a2

Volume of cube = a3

Calculation:

Let, the side of Cube 1 = a

∵ Volume of Cube 1 = TSA of Cube 1

⇒ a3 = 6a2

⇒ a = 6 unit

∵ Side of Cube 2 = 1.5 × (Side of Cube 1)

⇒ Side of Cube 2 = 1.5 × 6

= 9 unit

∴ Volume of Cube 2 = 9 × 9 × 9

= 729 unit3

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