Final answer:
To determine the number of cubic yards of gravel a standard pickup truck can hold, calculate the volume in cubic feet (64 cubic feet) and then convert to cubic yards, resulting in approximately 2.37 cubic yards.
Step-by-step explanation:
The student has a standard pickup truck with a bed measuring 8 feet long by 4 feet wide by 2 feet deep. To find out how many cubic yards of gravel the truck can hold, we must first calculate the volume in cubic feet and then convert that to cubic yards.
- Calculate the volume in cubic feet:
Volume = length × width × depth = 8 ft × 4 ft × 2 ft = 64 cubic feet. - Convert cubic feet to cubic yards:
There are 27 cubic feet in one cubic yard. So, the volume in cubic yards is 64 cubic feet ÷ 27 cubic feet/cubic yard = approximately 2.37 cubic yards.