moving truck is 7.5 feet long, 6 feet wide, and 9 feet tall.

Question

The back of Nico’s moving truck is 7.5 feet long, 6 feet wide, and 9 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube,    measuring 1.5 feet on each side.

How many boxes of papers can Nico pack into his truck? Show your work.

a.    What is the volume of each box of papers? SHOW YOUR WORK and include the units.

b.    What is the volume of Nico’s moving truck? SHOW YOUR WORK and include the units.

Answer 1

Hello!

First begin with finding the volume of the truck and each box of paper

b) The volume of the truck = Length * Width * Height = 7.5ft * 6ft * 9ft = 405 ft^3

a) Now volume of box of paper(Cube) = Side*Side*Side = (1.5ft)^3 = 3.375 ft^3

To find the number of boxes that can fit inside the truck, you divide the volume of the truck by the volume of each paper box = 405/3.375 = 120 boxes!

Hope this helps