Question

a company makes concrete bricks shaped like rectangular prisms. each brick is 11 inches long, 8 inches wide, and 5 inches tall. if they used 11,000 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 $l = 11$ inches, $w = 8$ inches and $h = 5$ inches. So $V=11\times8\times5=440$ in³.

Step2: Find number of bricks

Let the number of bricks be $n$. We know the total volume of concrete used is $11000$ in³. Since $n=\frac{\text{Total volume}}{\text{Volume of one brick}}$, then $n=\frac{11000}{440}=25$.

Answer:

25