The total surface area of a cube shape room is 96 m2. Find the maximum

1.	The total surface area of a cube shape room is 96 m2. Find the maximum length of the rod which can be placed in that room.1. 4√22. 4√33. 6√34. 6√2
Answer» Correct Answer - Option 2 : 4√3 Given: The total surface area of the room is 96 m² Concept Used: The total surface area of a cube of side ‘a’ unit is 6a² square unit The maximum length of a rod can be placed in a room is as the same length of the diagonal of the room. Length of the diagonal of a cube of side ‘a’ unit is a√3 unit Calculation: Let, length of a side of the cube is a unit The total surface area of the cube is 6a² unit² Accordingly, 6a² = 96 ⇒ a² = 16 ⇒ a = 4 Sides of the cube is 4 meter Length of the diagonal of the cube is 4√3 meter ∴ The maximum length of the rod which can place in that room is 4√3 meter.

The total surface area of a cube shape room is 96 m2. Find the maximum length of the rod which can be placed in that room.1. 4√22. 4√33. 6√34. 6√2

Answer» Correct Answer - Option 2 : 4√3

Given:

The total surface area of the room is 96 m²

Concept Used:

The total surface area of a cube of side ‘a’ unit is 6a² square unit

The maximum length of a rod can be placed in a room is as the same length of the diagonal of the room.

Length of the diagonal of a cube of side ‘a’ unit is a√3 unit

Calculation:

Let, length of a side of the cube is a unit

The total surface area of the cube is 6a² unit²

Accordingly,

6a² = 96

⇒ a² = 16

⇒ a = 4

Sides of the cube is 4 meter

Length of the diagonal of the cube is 4√3 meter

∴ The maximum length of the rod which can place in that room is 4√3 meter.

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