The given image shows a trapezoidal prism with dimensions that allow us to calculate the volume. To calculate the volume of a prism, we use the following formula:

$V = A_{\text{base}} \times \text{height}$

Where:

• $A_{\text{base}}$ is the area of the trapezoidal base.
• $\text{height}$ is the perpendicular height of the prism.

Step 1: Area of the Trapezoidal Base

The trapezoidal base has two parallel sides (top and bottom), which can be measured as the lengths:

• $a = 144 \, \text{mm} = 14.4 \, \text{cm}$ (since $1 \, \text{cm} = 10 \, \text{mm}$)
• The other relevant height of the trapezoid is given as $2.5 \, \text{cm}$.

For a trapezoid, the area is given by the formula: $A_{\text{trapezoid}} = \frac{1}{2} \times (a + b) \times h$ Where:

• $a$ and $b$ are the lengths of the parallel sides.
• $h$ is the height of the trapezoid.

We would need to confirm the second base length (b) to proceed with the calculation.

Would you like to clarify or provide the other dimension, or should I make an assumption based on standard interpretations? Let me know if you want more details or have questions!

Here are 5 related questions:

1. Do you know the second base length of the trapezoid?
2. Is this a simple trapezoidal prism or does it have any other hidden features?
3. Should I assume the height is consistent for all sides of the object?
4. Are you interested in learning how the volume changes with different dimensions?
5. Would you like a step-by-step guide for other solid shapes?

Tip: Always double-check that the units (cm, mm, etc.) are consistent when calculating volume.