A postal service says that a rectangular package can have a maximum combined length and girth of 108 inches. The girth of a package is the distance around the perimeter of a face that does not include the length.

a. Identify an inequality that represents the allowable dimensions for the package.

2w+2h≤1082w+2h≤108

2w+2h>1082w+2h>108

2w+2h<1082w+2h<108

2w+2h≥1082w+2h≥108

l+2w+2h≤108l+2w+2h≤108

l+2w+2h≥108l+2w+2h≥108

l+2w+2h<108l+2w+2h<108

l+2w+2h>108

b. Choose three sets of dimensions that are reasonable for the package.

l=12, w=5, h=5l=12, w=5, h=5

l=19, w=35, h=10l=19, w=35, h=10

l=20, w=8, h=12l=20, w=8, h=12

l=30, w=20, h=19

Find the volume of each package.

The first package has a volume
of__in.^3.

The second package has a volume
of__in.^3.

The third package has a volume
of__in.^3.

1 answer

The fourth package has a volume
of__in.^3.

The first package has a volume of 600 in.^3.
The second package has a volume of 6500 in.^3.
The third package has a volume of 960 in.^3.
The fourth package has a volume of 11400 in.^3.