A flower pot is in the shape of a triangular prism. The base is in the shape of a right triangle with legs that measure 8 inches and 9 inches. The height of the flowerpot is 12 inches. What is the volume of the flowerpot in cubic inches
The volume of a triangular prism can be calculated using the formula:
Volume = 1/2 * base * height * length
First, we need to calculate the area of the base, which is a right triangle:
Area of base = 1/2 * base * height
Area of base = 1/2 * 8 * 9
Area of base = 36 square inches
Now, we can calculate the volume of the flowerpot:
Volume = 36 * 12
Volume = 432 cubic inches
Therefore, the volume of the flowerpot is 432 cubic inches.