Question

figure shows the measurements, in inches, of a rectangular prism.
8 in 12 in 7 in
What is the volume of the prism?
(1 point)
92 cubic inches
236 cubic inches
472 cubic inches
672 cubic inches

Answer 1

To find the volume of a rectangular prism, you multiply its length, width, and height. In this case, the dimensions given are:

- Length = 12 inches
- Width = 8 inches
- Height = 7 inches

The formula for the volume \( V \) is:

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

Substituting the values:

\[
V = 12 \, \text{in} \times 8 \, \text{in} \times 7 \, \text{in}
\]

Calculating this:

\[
V = 12 \times 8 = 96 \, \text{in}^2
\]

\[
V = 96 \times 7 = 672 \, \text{in}^3
\]

So, the volume of the prism is **672 cubic inches**.