Question

a building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7 in by 3 1/2 in by 3 in. if the bricks cost $0.09 per cubic inch, find the cost of 500 bricks. round your answer to the nearest cent.

Explanation:

Step1: Calculate the volume of one brick

The volume \(V\) of a right - rectangular prism is given by \(V = l\times w\times h\). Here, \(l = 7\) in, \(w=3\frac{1}{2}=\frac{7}{2}\) in, \(h = 3\) in.

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Step2: Calculate the volume of 500 bricks

If one brick has a volume of \(V = 73.5\text{ in}^3\), then the volume of 500 bricks is \(V_{total}=500\times73.5 = 36750\text{ in}^3\)

Step3: Calculate the cost

The cost per cubic inch is \(\$0.09\). So the total cost \(C\) is \(C=0.09\times V_{total}\)

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Answer:

\(3307.50\)