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
