Question

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 5.5 ft by 13 ft by 9 ft. The container is entirely full. If, on average, its contents weigh 0.55 pounds per cubic foot, and, on average, the contents are worth $5.96 per pound, find the value of the container’s contents. Round your answer to the nearest cent.

Answer 1

Step-by-step explanation:

The first step is to calculate the volume of the prism. The formula for calculating the volume is

Volume = length x width x height

From the information given,

length = 5.5

width = 13

height = 9

Volume = 5.5 x 13 x 9 = 643.5 cubic feet

The average weight of the container is 0.55 pounds per cubic foot. It means that the weight of the 643.5 cubic feet is

643.5 x 0.55 = 353.925 pounds

On average, the contents are worth $5.96 per pound. This means that

The value of the container's content = 353.925 x 5.96

The value of the container's content = $2019.39