Question

a company makes concrete bricks shaped like rectangular prisms. each brick is 15 inches long, 10 inches wide, and 5 inches tall. if they used 15,000 in³ of concrete, how many bricks did they make? bricks

Explanation:

Step1: Calculate the volume of one brick

The volume \(V\) of a rectangular prism (brick) is given by the formula \(V = l\times w\times h\), where \(l = 15\) inches, \(w = 10\) inches, and \(h = 5\) inches.

$$V=15\times10\times5 = 750\space in^{3}$$

Step2: Calculate the number of bricks

We know the total volume of concrete is \(15000\space in^{3}\). Let \(n\) be the number of bricks. Then \(n=\frac{\text{Total volume of concrete}}{\text{Volume of one brick}}\)

$$n=\frac{15000}{750}=20$$

Answer:

\(20\)