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Each drawer in Monique's nightstand has a volume of 6 cubic decimeters. Each drawer is twice as long, twice as wide,and twice as deep. What is the volume of one of Monique's dresser drawers?

Respuesta :

12 cubic centermeters

Answer:

Volume of the Monique's drawer is 48 cubic decimeter

Step-by-step explanation:

Each drawer of Monique's nightstand has a volume = 6 cubic decimeter.

Let length of the drawer = x decimeter

Width of the drawer = y decimeter

and depth of the drawer = z decimeter

Volume of the drawer = xyz cubic decimeter

Each drawer of Monique's dresser is twice as long, twice as deep and twice as wide.

Therefore, Length of the dresser drawer = 2x

width of the drawer = 2y

and depth of the drawer = 2z

Now the volume of the drawer = (2x)(2y)(2z)

                                                   = 8xyz

Since xyz = 6

Therefore, Volume of the dresser drawer = 8 × 6 = 48 cubic decimeter

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