Question

Each brick in the wall has the dimensions shown below.
A rectangular prism with a length of 8 inches, width of 4 inches, and height of 2.25 inches.
What is the volume of each brick?
59 inches cubed
72 inches cubed
118 inches cubed
144 inches cubed

Answer 1

To calculate the volume of the brick, you use the formula for the volume of a rectangular prism:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

Given the dimensions:
- Length = 8 inches
- Width = 4 inches
- Height = 2.25 inches

Plugging in the values:

\[
\text{Volume} = 8 \, \text{inches} \times 4 \, \text{inches} \times 2.25 \, \text{inches}
\]

Calculating step-by-step:

1. Calculate the area of the base:
\[
8 \times 4 = 32 \, \text{inches}^2
\]

2. Now multiply by the height:
\[
32 \, \text{inches}^2 \times 2.25 \, \text{inches} = 72 \, \text{inches}^3
\]

Therefore, the volume of each brick is **72 inches cubed**.