Final answer:
The volume of a trapezoidal prism can be found by multiplying the area of the base by the height. In this case, the base is a trapezoid with parallel sides measuring 4 units and 8 units, and the height is 6 units. The height of the prism is given as 10 units, so the volume would be 360 cubic units.
Step-by-step explanation:
The volume of the trapezoidal prism can be calculated by multiplying the area of the base by the height. The base of the prism is the trapezoid formed by the two parallel bases of the prism. The formula for the area of a trapezoid is A = ½(b1 + b2)h, where b1 and b2 are the lengths of the parallel bases and h is the height of the trapezoid.
Let's assume the measurements of the parallel bases are 4 units and 8 units, and the height of the trapezoid is 6 units. Plugging these values into the formula, we get A = ½(4 + 8)(6) = 36 square units.
Now, multiply the area of the base by the height of the prism to find the volume. The height of the prism is given as 10 units. V = 36 * 10 = 360 cubic units.