Question

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft by 11 ft by 14.5 ft. If the container is entirely full and, on average, its contents weigh 0.83 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.

Answer 1

The volume of a right rectangular prism is given by the formula below

$V=\text{whl}$

Thus, in our case,

$V=7\cdot11\cdot14.5=1116.5$

The volume of the container is 1116.5ft^3.

Finally, multiply the total volume by the density given in the problem, as follows

$\begin{gathered} \text{weight}=1116.5\cdot0.83=926.695 \\ \Rightarrow\text{weight}\approx927 \end{gathered}$

Rounded to the nearest pound, the answer is 927 pounds.