If the total surface area of a cube is 1944 m2, then what is the volum

1.	If the total surface area of a cube is 1944 m2, then what is the volume of cube?1. 4986 m32. 5832 m33. 5684 m34. 4864 m3
Answer» Correct Answer - Option 2 : 5832 m³ Given: Total surface are of cube = 1944 cm² Formula used: TSA of cube = 6 × edge² Volume of cube = edge³ Calculation: Let the edge of cube be x m. TSA of cube = 6 × edge² ⇒ 1944 = 6x² ⇒ x² = 324 ⇒ x = √324 ⇒ x = 18 m Volume of cube = edge³ ⇒ Volume = x³ ⇒ Volume = 18³ ⇒ Volume = 5832 m³ ∴ The volume of cube is 5832 m³.

If the total surface area of a cube is 1944 m2, then what is the volume of cube?1. 4986 m32. 5832 m33. 5684 m34. 4864 m3

Answer» Correct Answer - Option 2 : 5832 m³

Given:

Total surface are of cube = 1944 cm²

Formula used:

TSA of cube = 6 × edge²

Volume of cube = edge³

Calculation:

Let the edge of cube be x m.

TSA of cube = 6 × edge²

⇒ 1944 = 6x²

⇒ x² = 324

⇒ x = √324

⇒ x = 18 m

Volume of cube = edge³

⇒ Volume = x³

⇒ Volume = 18³

⇒ Volume = 5832 m³

∴ The volume of cube is 5832 m³.

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If the total surface area of a cube is 1944 m2, then what is the volume of cube?1. 4986 m32. 5832 m33. 5684 m34. 4864 m3

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