Question

a company makes concrete bricks that are shaped like rectangular prisms. each brick is 8 inches long, 4 inches wide, and 2 inches tall. how much concrete will they need to make 1600 bricks?

Explanation:

Step1: Calculate the volume of one brick

The volume \(V\) of a rectangular prism is given by the formula \(V = l\times w\times h\), where \(l = 8\) inches (length), \(w = 4\) inches (width), and \(h=2\) inches (height).

$$V=8\times4\times2$$

$$V = 64\space in^{3}$$

Step2: Calculate the total volume for 1600 bricks

Multiply the volume of one brick by the number of bricks \(n = 1600\).

$$V_{total}=n\times V$$

$$V_{total}=1600\times64$$

$$V_{total}=102400\space in^{3}$$

Answer:

\(102400\)