The pentagonal prism below has a base area of 26 unitssquared 2 and a height of 3.9 units. Find its volume.

1. Break Down the Problem

To find the volume of a pentagonal prism, we need to use the formula for the volume of a prism, which is given by: $V = \text{Base Area} \times \text{Height}$ We are provided with:

• Base Area, $A = 26 \, \text{units}^2$
• Height, $h = 3.9 \, \text{units}$

2. Relevant Concepts

The volume formula for a prism combines the area of the base with the height of the prism.

3. Analysis and Detail

Using the formula, we will substitute the given values: $V = A \times h = 26 \, \text{units}^2 \times 3.9 \, \text{units}$

4. Verify and Summarize

Performing the calculation: $V = 26 \times 3.9 = 101.4 \, \text{units}^3$

Final Answer

The volume of the pentagonal prism is $\mathbf{101.4 \, units^3}$.