Question

The length of a room is twice the width and three times its height. If the volume of the room is 288,find the length

Answer 1

The length of the room is 12 unit

Answer 2

length of the room is 12 unit

a/c to question, The length of a room is twice the width and three times its height.

let width of the room = x

then length of the room = 2x

3 × height of the room = length of the room

height of the room = 2x/3

now volume of the room = length × width × height

288 = x × 2x × 2x/3

⇒288 = 4x³/3

⇒ x³ = 72 × 3

⇒x = 6

so length of the room is 2x = 2 × 6 = 12 unit.

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