Question

The park foreman decides that there is a need for a 4-inch layer of topsoil on the soccer field to get it ready for the upcoming soccer season. He knows that: The soccer field measures 100 feet by 250 feet Topsoil is ordered by the truckload One truckload contains 5 cubic yards of topsoil How many truckloads of topsoil should the park foreman order to have enough topsoil for this job. Show your work and explain how arrived at your answer.

Answer 1

Answer:

62 truckloads

Explanations:

The soccer field will be rectangular in shape

The amount of topsoil to fill the field will be determine by its volume

Volume of a rectangular prism = Length x width x height

The length = 250 feet

The width = 100 feet

The height = 4 inches = 4 x 0.083 feet = 0.332 feet

The volume of the rectangular prism = 250 x 100 x 0.332

The volume of the rectangular prism = 8300 cubic feet

1 cubic foot = 0.037 cubic yards

8300 cubic feet = 8300 x 0.037 = 307.1 cubic yards

307.1 cubic yards of topsoil is needed to fill the soccer field

5 cubic yards = 1 truck load

307.1 cubic yards = 307.1 / 5 truck loads

307.1 cubic yards = 61.42

62 truckloads of topsoil should be ordered to have enough topsoil for the job

Note: If the foreman orders for 61 truckloads, the topsoil will not be enough