Question

A transport company needs to deliver 300 pounds of rocks to a construction site. The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A). If each pound of rock has a mass of 8 cubic feet, how many dump trucks will it take to transport the rock?
Calculate the total volume of rock that the transport company is responsible for.
Calculate the maximum volume of each dump truck.
How many trucks are needed to deliver the rock in one trip?

Answer 1

Answer:

Step-by-step explanation:

Given : A transport company needs to deliver 300 pounds of rocks to a construction site. The company owns a set of dump trucks- each with a container in the shape of a rectangular prism

To Find :

If each pound of rock has a mass of 8 cubic feet, how many dump trucks will it take to transport the rock?

Calculate the total volume of rock that the transport company is responsible for.

Calculate the maximum volume of each dump truck.

How many trucks are needed to deliver the rock in one trip?

Solution :

Each pound of rock has a mass of 8 cubic feet

300 pounds of rocks has a mass = 300*8 =2400 cubic feet

A. Thus the total volume of rock that the transport company is responsible for = 2400 cubic feet

Volume of rock = length * width * height = 9*12*8 =864 cubic feet.

B. Thus the maximum volume of each dump truck. = 864 cubic feet

No. of dump trucks will it take to transport the rock = 2400/864 =2.77

C.Thus No. of dump trucks will it take to transport the rock is 3 trucks.

Answer 2

A.) Based on the given, 1 pound of rock is equivalent to 8 cubic feet therefore 300 pound of rocks is equal to 2400 cubic feet
B.) The maximum volume of the truck is equal to 864 cubic feet (V= LxWxH)
C.) Total number of trucks needed to transport the truck can be known by dividing the total volume of rocks and the maximum volume to the truck,
2400 ft^3/864 ft^3 = ~3 trucks