Question

question
a container built for transatlantic shipping is constructed in the shape of a right rectangular prism. its dimensions are 10 ft by 14.5 ft by 10 ft. the container is entirely full. if, on average, its contents weigh 0.65 pounds per cubic foot, and, on average, the contents are worth $6.59 per pound, find the value of the container’s contents. round your answer to the nearest cent.
answer attempt 1 out of 2

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Explanation:

Step1: Calculate volume of container

The container is a right rectangular prism. Volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \). Here, length \( l = 10 \) ft, width \( w = 14.5 \) ft, height \( h = 10 \) ft. So, \( V = 10\times14.5\times10 = 1450 \) cubic feet.

Step2: Calculate weight of contents

Contents weigh \( 0.65 \) pounds per cubic foot. So total weight \( W = 0.65\times V = 0.65\times1450 = 942.5 \) pounds.

Step3: Calculate value of contents

Value per pound is \( \$6.59 \). So total value \( = 6.59\times942.5 \). Calculate \( 6.59\times942.5 = 6.59\times(900 + 42.5)= 6.59\times900+6.59\times42.5 = 5931+279.075 = 6210.075 \). Round to nearest cent, it's \( \$6210.08 \).

Answer:

\$6210.08