Answer:
The weight of the yard waste = 1650 pounds
Step-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
