The total surface area of a cube is 108 cm2. Find the volume of the cu

1.	The total surface area of a cube is 108 cm2. Find the volume of the cube?1. 50√22. 54√23. 48√24. 56√2
Answer» Correct Answer - Option 2 : 54√2 Given: Total surface area of cube = 108 cm² Formula used: TSA of cube = 6a² Volume of cube = a³ Calculation: Let, the side of the cube be ‘a’ ∵ TSA of cube = 6a² ⇒ 108 cm² = 6a² ⇒ a² = 108/6 ⇒ a² = 18 cm² ⇒ a = √18 = 3√2 cm ∴ Volume of cube = a³ = (3√2)³ = 54√2 cm³

The total surface area of a cube is 108 cm2. Find the volume of the cube?1. 50√22. 54√23. 48√24. 56√2

Answer» Correct Answer - Option 2 : 54√2

Given:

Total surface area of cube = 108 cm²

Formula used:

TSA of cube = 6a²

Volume of cube = a³

Calculation:

Let, the side of the cube be ‘a’

∵ TSA of cube = 6a²

⇒ 108 cm² = 6a²

⇒ a² = 108/6

⇒ a² = 18 cm²

⇒ a = √18 = 3√2 cm

∴ Volume of cube = a³

= (3√2)³

= 54√2 cm³

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The total surface area of a cube is 108 cm2. Find the volume of the cube?1. 50√22. 54√23. 48√24. 56√2

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