If volume of a cube is 6859 cm3 then, find the surface area of the cub

1.	If volume of a cube is 6859 cm3 then, find the surface area of the cube. 1. 2196 cm22. 2096 cm23. 2136 cm24. 2166 cm2
Answer» Correct Answer - Option 4 : 2166 cm² Given: The volume of the cube is 6859 cm³. Concept: Side of cube = (Volume)^1/3 Surface area of cube = 6 × (Side)² Calculation: Side of the Cube = (6859)^1/3 ⇒ (19)^{3 × 1/3} ⇒ 19 cm Now, Surface area of the cube = 6 × (19)² ⇒ 6 × 361 ⇒ 2166 cm² ∴ The required surface area of the cube is 2166 cm².

If volume of a cube is 6859 cm3 then, find the surface area of the cube. 1. 2196 cm22. 2096 cm23. 2136 cm24. 2166 cm2

Answer» Correct Answer - Option 4 : 2166 cm²

Given:

The volume of the cube is 6859 cm³.

Concept:

Side of cube = (Volume)^1/3

Surface area of cube = 6 × (Side)²

Calculation:

Side of the Cube = (6859)^1/3

⇒ (19)^{3 × 1/3}

⇒ 19 cm

Now,

Surface area of the cube = 6 × (19)²

⇒ 6 × 361

⇒ 2166 cm²

∴ The required surface area of the cube is 2166 cm².

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If volume of a cube is 6859 cm3 then, find the surface area of the cube. 1. 2196 cm22. 2096 cm23. 2136 cm24. 2166 cm2

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