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: \(240 , \text{in}^3\)