Question

Devon build shelves in the basement to use for storage he built shelves so that they would easily hold plastic containers shaped like rectangular prisms that measures 16in by13in by 1.75feet he currently has his off-season clothing stuff in the boxes that is 1.5'feet by 1.5'feet by14"feet will all of the clothing fit into the plastic storage container so that he can put it on his new shelves

Answer 1

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.

Explanation:

Converting inch measures to feet :

1 inch = 0.0833 feets

Volume of rectangular prism :

V = Lenght * width * height

Volume of plastic container:

16 in = 16 * 0.0833 = 1.3328 feets

13 in = 13 * 0.0833 = 1.0829 feets

Volume of plastic container :

V = 1.3328 * 1.0829 * 1.75 = 2.526 ft³

Volume of box :

1.5 * 1.5 * 14 = 31.5 ft³

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.