If the numerical value of total surface area is twice to the volume of

1.	If the numerical value of total surface area is twice to the volume of the cube, then find the square of the diagonal of cube?1. 3√3 cm22. 18 cm23. 9√3 cm24. 27 cm2
Answer» Correct Answer - Option 4 : 27 cm² Given: The numerical value of total surface area is twice to the volume of the cube. Concept: The volume of the cube = a³ The total surface area of the cube = 6 × a² Diagonal of the cube = √3 × a Where a = side Explanation: according to the question, 6 × a² = 2 × a³ ⇒ 6 = 2 × a ⇒ a = 3 cm Diagonal of the cube = √3 × 3 = 3√3 cm ∴ The square of the diagonal of the cube is (3√3)² is 27 cm².

If the numerical value of total surface area is twice to the volume of the cube, then find the square of the diagonal of cube?1. 3√3 cm22. 18 cm23. 9√3 cm24. 27 cm2

Answer» Correct Answer - Option 4 : 27 cm²

Given:

The numerical value of total surface area is twice to the volume of the cube.

Concept:

The volume of the cube = a³

The total surface area of the cube = 6 × a²

Diagonal of the cube = √3 × a

Where a = side

Explanation:

according to the question,

6 × a² = 2 × a³

⇒ 6 = 2 × a

⇒ a = 3 cm

Diagonal of the cube = √3 × 3 = 3√3 cm

∴ The square of the diagonal of the cube is (3√3)² is 27 cm².

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If the numerical value of total surface area is twice to the volume of the cube, then find the square of the diagonal of cube?1. 3√3 cm22. 18 cm23. 9√3 cm24. 27 cm2

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