To find the volume of the prism shown in the image, we can use the formula for the volume of a prism:

$\text{Volume} = \text{Base Area} \times \text{Height}$

Given:

• The area of the base $A = 40.2 \, \text{cm}^2$
• The height $h = 12.1 \, \text{cm}$

We can now calculate the volume:

$\text{Volume} = 40.2 \, \text{cm}^2 \times 12.1 \, \text{cm}$

Let's compute that.

$\text{Volume} = 40.2 \times 12.1 = 486.42 \, \text{cm}^3$

So, the volume of the prism is $486.42 \, \text{cm}^3$.

Would you like more details or have any other questions?

Here are some related questions:

1. How do you find the surface area of the prism?
2. What is the difference between the volume and surface area of a prism?
3. How would the volume change if the height were doubled?
4. What types of prisms can this formula be applied to?
5. How does the shape of the base affect the volume calculation?

Tip: Always ensure that the units of measurement are consistent when calculating volume or any other geometrical property.