Box 1 has dimensions 6/1/2 by 8/1/2 by 11. Box 2 has dimensions 3/3/8 by 11/7/8 by 13/5/8. Which box has the greater volume?

1 Answer
Mar 7, 2017

Box 1 has the greater volume

Explanation:

Assuming 6/1/2 means #6 1/2#
and similarly for the other dimensions given.

Volume = length #xx# width #xx# depth

Box 1 has a volume
#color(white)("XXX")6 1/2 xx 8 1/2 xx 11 =607.75#

Box 2 has a volume (approximate, I used a calculator)
#color(white)("XXX")3 3/8 xx 11 7/8 xx 13 5/8 ~~546.06...#

Therefore Box 1 has the greater volume.