Volume up each drawer in Monique's nightstand has a volume of 6 cubic decimeters each drawer in her dresser is twice as long twice as wide and twice as deep what is the volume of one of Monique's dresser drawers

1 answer

Let's first calculate the volume of one drawer in Monique's nightstand:

Volume = 6 cubic decimeters

Now, the volume of each drawer in her dresser is twice as long, twice as wide, and twice as deep as the drawer in her nightstand.

Let the length, width, and depth of the drawer in her nightstand be L, W, and D respectively.

Therefore, the volume of one drawer in Monique's dresser will be:

Volume = (2L) x (2W) x (2D)
Volume = 8 x L x W x D

Since the volume of one drawer in Monique's nightstand is 6 cubic decimeters, we know:

6 = L x W x D

Substitute this into the formula for the volume of one drawer in her dresser:

Volume = 8 x 6
Volume = 48 cubic decimeters

Therefore, the volume of one drawer in Monique's dresser is 48 cubic decimeters.