High School

A truck whose bed is 9 feet long, 5 feet wide, and 3 feet high is delivering sand for a sand sculpture competition. How many trips must Chuck make to deliver 810 ft³ of sand?

Answer :

Final answer:

Chuck must make 6 trips to deliver 810 ft³ of sand, with each truckload being 135 ft³ calculated as the product of the truck's bed dimensions (9 ft x 5 ft x 3 ft).

Explanation:

To calculate how many trips Chuck must make to deliver 810 ft³ of sand with a truck whose bed is 9 feet long, 5 feet wide, and 3 feet high, we need to find the volume of the truck's bed and then divide the total amount of sand by this volume.

The volume of the truck's bed can be found using the formula for the volume of a rectangular prism: Volume = length x width x height. So, the volume of the truck's bed is 9 ft x 5 ft x 3 ft = 135 ft³.

Next, we divide the total volume of sand by the volume of one truckload to get the number of trips: 810 ft³ / 135 ft³ = 6 trips.

Therefore, Chuck must make 6 trips to deliver all of the sand.