A company makes concrete bricks shaped like rectangular prisms. Each brick is 13 inches long, 5 inches wide, and 4 inches tall. If they used 11,700 in^3 of concrete, how many bricks did they make?

45 bricks

Step-by-step explanation:

First we need to find the volume of one brick. The bricks are rectangular prisms. The volume formula for rectangular prisms is:

V=l*w*h

The bricks are 13 inches long, 5 inches wide and 4 inches high.

l=13 inches

w=5 inches

h=4 inches

V = 13 inches * 5 inches * 4 inches

V=65 inches^2 * 4 inches

V=260 inches ^3

Each brick has a volume of 260 inches^3. We know they used a total of 11,700 inches^3 of concrete. The question asks us to find how many bricks they made. We must divide the volume of concrete used by the volume of one brick.

concrete volume / one brick volume

concrete volume = 11,700 in^3

one brick volume = 260 in^3

11,700 in^3 / 260 in^3

11,700/260

45

They made 45 bricks.