To find the volume of a figure made up of two identical triangular prisms, we first need to calculate the volume of one of the triangular prisms and then multiply that volume by 2.
The volume \( V \) of a triangular prism can be calculated using the formula:
\[ V = \text{Base Area} \times \text{Height} \]
- Calculating Base Area: For a triangular prism, the base area can be found using the formula for the area of a triangle. The area \( A \) of a triangle is given by:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, we need to identify the base and the height of the triangle. Assuming that the dimensions given refer to one triangular base and the height of the prism:
- Use 6 in as the base of the triangle.
- The given height of the triangle (to be determined from the provided dimensions) appears to be 5 in (assuming 5 in refers to the height of the triangular base; this needs verification).
Using these values:
\[ A = \frac{1}{2} \times 6 , \text{in} \times 5 , \text{in} = \frac{1}{2} \times 30 , \text{in}^2 = 15 , \text{in}^2 \]
- Calculating Volume for One Prism: The height of the prism is given as 10 in.
Now we can calculate the volume of one prism:
\[ V = A \times \text{Height} = 15 , \text{in}^2 \times 10 , \text{in} = 150 , \text{in}^3 \]
- Calculating Total Volume for Two Identical Prisms:
Since the figure consists of two identical triangular prisms, the total volume of the figure is:
\[ \text{Total Volume} = 2 \times V = 2 \times 150 , \text{in}^3 = 300 , \text{in}^3 \]
Thus, the volume of the figure made up of two identical triangular prisms is \( \boxed{300 , \text{in}^3} \).