Question

A transport company needs to deliver 500,000 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 volume of 0.01 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:

Below

Step-by-step explanation:

Let's calculate first the volume of the rectangular container.

● V = L×w× h

L is the length of the base, w is the width and h is the height of the prism.

● V = 9×12×8

● V = 864 ft^3

So each dump track can transport a total volume of 864 ft^3

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The company needs to transport 500 000 pounds of rocks.

Each pound of rock has a volule of 0.01 ft^3

● 500 000 × 0.01 = 5000 ft^3

Divide 5000 ft^3 by 864 ft^3 to khow how many dump tracks the company will need to deliever 500 000 pounds of rocks to the construction site.

● 5000 ÷ 864 = 5.78

Round it to the nearest unit

● 5.78 is approximatively 6

So the company needs 6 dump-tracks