PSSA OEQ Classwork 2

Last updated over 5 years ago
3 questions
Luke works in the shipping department of a toy company. He sends toys in boxes that are each in the shape of a rectangular prism. The lengths, widths, and heights of all the boxes are whole numbers of inches.
1

Luke needs to find a box that has a total volume of 24 cubic inches.

A. Find a possible combination of length, width, and height, all in whole numbers of inches, of a box Luke could use.

2

Luke is shipping another toy that has a volume of 34 cubic feet. The box he will use has a base of 15 square feet and a height of 3 feet. The rest of the box will be filled with packing material.

B. What is the volume, in cubic feet, of the packing material Luke will need? Show or explain all your work.

1

Luke has a toy, shaped like a rectangular prism, that needs to be sent in a box. The measurements of the toy are 8 inches long, 5 inches wide, and 6 inches high. To make sure there is enough room for the packing material, the measurements of the box need to be at least 1 inch greater than the length, width, and height of the toy. The box’s volume must be less than 400 cubic inches.

C. Explain why there is only one possible combination of length, width, and height of the box.