Question

What is the volume of this prism?
Next, find the height of the prism.
Rectangular prism with dimensions 5 in by 6 in by 8 in.
Area of
the base Height of
the prism Volume
8in
6in
5in



30 in
2

in ? in
3

Answer 1

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

\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

Where the base area for a rectangular prism is calculated as:

\[
\text{Base Area} = \text{Length} \times \text{Width}
\]

In your case, the dimensions of the rectangular prism are:

- Length = 5 in
- Width = 6 in
- Height = 8 in

First, we will calculate the area of the base:

\[
\text{Base Area} = 5 \text{ in} \times 6 \text{ in} = 30 \text{ in}^2
\]

Now that we have the base area, we can find the volume:

\[
\text{Volume} = \text{Base Area} \times \text{Height} = 30 \text{ in}^2 \times 8 \text{ in} = 240 \text{ in}^3
\]

### Summary of the calculations:
- **Area of the base**: \(30 \text{ in}^2\)
- **Height of the prism**: \(8 \text{ in}\)
- **Volume of the prism**: \(240 \text{ in}^3\)

If you have any more questions or need further assistance, feel free to ask!