The cost of painting the lateral surface area of a cube at the rate of

1.	The cost of painting the lateral surface area of a cube at the rate of 0.15 rupee per cm2 is 38.4 rupee. Find the total surface area of a cube. 1. 242 cm22. 275 cm23. 256 cm24. 384 cm2
Answer» Correct Answer - Option 4 : 384 cm² Given: The cost of painting the lateral surface area of a cube at the rate of 0.15 rupee per cm² is 38.4 rupee Concept: Lateral surface area = Cost of painting the lateral surface/cost of painting per cm² The lateral surface area of cube = 4 × (Side)² The surface area of cube = 6 × (Side)² Calculation: The lateral surface area of the cube = 38.4/0.15 ⇒ 256 cm² Now, ⇒ 4 × (Side)² = 256 ⇒ Side = (64)^1/2 ⇒ Side = 8 cm The surface area of the cube is ⇒ 6 × 8² ⇒ 6 × 64 ⇒ 384 cm² ∴ The required surface area of the cube is 384 cm².

The cost of painting the lateral surface area of a cube at the rate of 0.15 rupee per cm2 is 38.4 rupee. Find the total surface area of a cube. 1. 242 cm22. 275 cm23. 256 cm24. 384 cm2

Answer» Correct Answer - Option 4 : 384 cm²

Given:

The cost of painting the lateral surface area of a cube at the rate of 0.15 rupee per cm² is 38.4 rupee

Concept:

Lateral surface area = Cost of painting the lateral surface/cost of painting per cm²

The lateral surface area of cube = 4 × (Side)²

The surface area of cube = 6 × (Side)²

Calculation:

The lateral surface area of the cube = 38.4/0.15

⇒ 256 cm²

Now,

⇒ 4 × (Side)² = 256

⇒ Side = (64)^1/2

⇒ Side = 8 cm

The surface area of the cube is

⇒ 6 × 8²

⇒ 6 × 64

⇒ 384 cm²

∴ The required surface area of the cube is 384 cm².

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