Question

What is the volume of the prism shown below?

A rectangular prism with length of 6 inches, height of 7 inches, and width of 3 inches.
16 cubic inches
21 cubic inches
90 cubic inches
126 cubic inches

Answer 1

To find the volume of a rectangular prism, you can use the formula:

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

In this case, the dimensions of the prism are as follows:
- Length = 6 inches
- Width = 3 inches
- Height = 7 inches

Now, substitute the values into the formula:

\[
\text{Volume} = 6 \, \text{inches} \times 3 \, \text{inches} \times 7 \, \text{inches}
\]

Calculating step by step:

1. First, compute the area of the base (length × width):
\[
6 \times 3 = 18 \, \text{square inches}
\]

2. Then, multiply by the height to find the volume:
\[
18 \, \text{square inches} \times 7 \, \text{inches} = 126 \, \text{cubic inches}
\]

Thus, the volume of the prism is:

\[
\boxed{126} \, \text{cubic inches}
\]