Final answer:
To calculate the volume of a trapezoidal prism, use the formula V = Ah, with A being the area of the trapezoid base and h the height of the prism. Multiply the base area by the prism height to get the volume.
Step-by-step explanation:
The question is asking about how to calculate the volume of a trapezoidal prism. To find the volume of a trapezoidal prism, you use the formula V = Ah, where V represents the volume, A is the area of the trapezoid base, and h is the height of the prism. The area of the trapezoid (A) can be found by taking the average of the bases of the trapezoid multiplied by its height, and then this area is multiplied by the height (h) of the prism to get the volume.
For example, if the area of the trapezoid base (A) is 5 square units and the height (h) of the prism is 10 units, the volume (V) would be 5 * 10 = 50 cubic units. Understanding the volume of different shapes is essential in both mathematics and applied fields such as engineering and architecture. The calculation of volume can also be useful for determining the capacity of containers or the amount of material needed to fill a space.