Question

Find the volume of the triangular prism.
3.2 cm
4.8 cm
9 cm
Question content area bottom
Part 1
The volume of the triangular prism is
  
enter your response here cm cubed .

Answer 1

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

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

1. **Find the area of the triangular base.** The formula for the area of a triangle is:

\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

In your case, the base of the triangle is \(3.2 \, \text{cm}\) and the height of the triangle is \(4.8 \, \text{cm}\):

\[
\text{Area} = \frac{1}{2} \times 3.2 \, \text{cm} \times 4.8 \, \text{cm} = \frac{1}{2} \times 15.36 \, \text{cm}^2 = 7.68 \, \text{cm}^2
\]

2. **Multiply by the height of the prism.** The height (length) of the prism is given as \(9 \, \text{cm}\):

\[
\text{Volume} = \text{Base Area} \times \text{Height} = 7.68 \, \text{cm}^2 \times 9 \, \text{cm} = 69.12 \, \text{cm}^3
\]

So, the volume of the triangular prism is:

\[
\boxed{69.12 \, \text{cm}^3}
\]