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?
bricks

Explanation:

Step1: Calculate volume of one brick

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l = 10 \) in, \( w = 6 \) in, \( h = 4 \) in. So, \( V = 10 \times 6 \times 4 = 240 \) \( \text{in}^3 \).

Step2: Find number of bricks

Let \( n \) be the number of bricks. Total volume used is \( 13200 \) \( \text{in}^3 \). So, \( n=\frac{\text{Total Volume}}{\text{Volume of one brick}}=\frac{13200}{240} = 55 \).

Answer:

55