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?

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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step-by-step explanation: