Question

A rectangular prism has a base that is 10 inches wide and 1 foot long, and is 2.5 inches deep. Find the volume of the prism.(1 point)
The rectangular prism has a volume of
in.3
.

Answer 1

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

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Before we calculate, let's make sure all dimensions are in the same unit. The dimensions provided are:

- Width = 10 inches
- Length = 1 foot = 12 inches (since 1 foot = 12 inches)
- Depth (Height) = 2.5 inches

Now, we can plug these values into the volume formula:

\[
\text{Volume} = 12 \text{ in} \times 10 \text{ in} \times 2.5 \text{ in}
\]

Calculating this:

\[
\text{Volume} = 12 \times 10 = 120 \text{ in}^2
\]

Now, multiply that by the height (depth):

\[
\text{Volume} = 120 \text{ in}^2 \times 2.5 \text{ in} = 300 \text{ in}^3
\]

Thus, the volume of the prism is

\[
\boxed{300} \text{ in}^3.
\]