Question

a company makes concrete bricks shaped like rectangular prisms. each brick is 10 inches long, 6 inches wide, and 4 inches tall. if they used 13,200 in³ of concrete, how many bricks did they make?

Explanation:

Step1: Calculate volume of one brick

The volume $V$ of a rectangular - prism is given by $V = l\times w\times h$, where $l = 10$ inches, $w = 6$ inches and $h = 4$ inches. So $V=10\times6\times4=240$ $in^{3}$.

Step2: Calculate number of bricks

Let the number of bricks be $n$. We know the total volume of concrete used is $13200$ $in^{3}$. Since $n=\frac{\text{Total volume of concrete}}{\text{Volume of one brick}}$, then $n = \frac{13200}{240}=55$.

Answer:

55