Q:

A dumpster, in the shape of a right rectangular prism, has a length of 10 feet, a width of 5.5 feet, and a height of 4 feet. It is completely full of yard waste that weighs, on average, 7.5 pounds/cubic foot. What is the weight of the yard waste to the nearest pound? Enter the number only.

Accepted Solution

A:
Answer:The weight of the yard waste = 1650 poundsStep-by-step explanation:* Lets revise the rule of the volume of the prism- The rectangular prism has 6 rectangular faces- Its base shaped a rectangle of dimensions length and width- The volume of the rectangular prism = Area of its base × its height∵ Area of the rectangle = length × width∴ The volume of the prism = length × width × height* Now lets solve the problem∵ The length of the rectangular prism = 10 feet∵ The width of it = 5.5 feet∵ The height of it = 4 feet∴ Its volume = 10 × 5.5 × 4 = 220 feet³- The prism is completely full of yard waste∴ The volume of the yard waste = the volume of the prism∴ The volume of the yard waste = 220 feet³- The average weighs of it is 7.5 pounds/cubic foot∴ The weight of the yard waste = the average of weight × the volume∴ The weight of the yard waste = 7.5 × 220 = 1650 pounds