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An architect is redesigning a rectangular room on the blueprints of a house. She decides to double the width of the room, increase the length by 50 percent, and increase the height by 20 percent. By what factor has the volume of the room increased?

Respuesta :

Answer:3.6

Explanation:

Given

Architect decide to double the width

length increases by 50 percent

height increases by 20 percent

Let L,B,H be length,height and width of rectangular room

L'=1.5L

B'=2B

H'=1.2H

therefore new volume V'=L'\times B'\times H'

[tex]V'=1.5L\times 2B\times 1.2H[/tex]

V'=3.6LBH

new volume is 3.6 times the original

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