Question

Lateral surface area of a cube is 324 cm sq find its volume and tsa

Answer 1

Answer:

Step-by-step explanation

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Answer 2

Answer:

TSA = 486 cm²

Volume = 729 cm³

Step-by-step explanation:

Let the length of the edge of the cube be a.

Then, its LSA = 4a²

But, given LSA = 324 cm²

∴ 4a² = 324

or, a² = 324 ÷ 4 = 81

or, a = √81 = 9 cm

Now, we have the length of the edge of the cube as 9 cm.

So, its TSA = 6a² = 6(9)² = 6(81) = 486 cm²

And, Volume = a³ = 9³ = 729 cm³