The ratio of length, width and height of a room is 3 : 2 : 1. If its v

1.	The ratio of length, width and height of a room is 3 : 2 : 1. If its volume is 3072 cubic meters, find its width. A. 18 metersB. 16 metersC. 24 metersD. 12 meters1. B2. C3. D4. A
Answer» Correct Answer - Option 1 : B Given: The ratio of length, width and height = 3 : 2 : 1 Volume = 3072 cubic meters Formula used: The volume of cuboid = length × width × height Calculation: Let the length, width, and height be 3x, 2x, and x meters. The volume of room = length × width × height ⇒ 3072 = 3x × 2x × x ⇒ 6x³ = 3072 ⇒ x³ = 512 ⇒ x = 8 Width = 2x ⇒ Width = 2 × 8 ⇒ Width = 16 m ∴ The width of room is 16 meter.

The ratio of length, width and height of a room is 3 : 2 : 1. If its volume is 3072 cubic meters, find its width. A. 18 metersB. 16 metersC. 24 metersD. 12 meters1. B2. C3. D4. A

Answer» Correct Answer - Option 1 : B

Given:

The ratio of length, width and height = 3 : 2 : 1

Volume = 3072 cubic meters

Formula used:

The volume of cuboid = length × width × height

Calculation:

Let the length, width, and height be 3x, 2x, and x meters.

The volume of room = length × width × height

⇒ 3072 = 3x × 2x × x

⇒ 6x³ = 3072

⇒ x³ = 512

⇒ x = 8

Width = 2x

⇒ Width = 2 × 8

⇒ Width = 16 m

∴ The width of room is 16 meter.

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The ratio of length, width and height of a room is 3 : 2 : 1. If its volume is 3072 cubic meters, find its width. A. 18 metersB. 16 metersC. 24 metersD. 12 meters1. B2. C3. D4. A

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