Question

What is the volume of this prism?
Start by finding the area of the highlighted base.
Rectangular prism. Base with dimensions 5 in by 6 in is highlighted, and the height is 8 in.
Area of
the base Height of
the prism Volume
in
2
? in ? in
3

Answer 1

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

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

### Step 1: Calculate the Area of the Base
The area of the rectangular base can be calculated using the formula for the area of a rectangle:

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

Given the dimensions of the base:
- Length = 5 in
- Width = 6 in

So the area of the base is:

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

### Step 2: Height of the Prism
The height of the prism is given as:

\[
\text{Height} = 8 \, \text{in}
\]

### Step 3: Calculate the Volume
Now we can find the volume using the area calculated and the height of the prism:

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

Calculating this gives:

\[
\text{Volume} = 240 \, \text{in}^3
\]

**Final Results:**
- Area of the base: \(30 \, \text{in}^2\)
- Height of the prism: \(8 \, \text{in}\)
- Volume: \(240 \, \text{in}^3\)