This triangular planting trough is 3.5 m long, 1.2 m wide at the top, and 0.75 m deep. How much soil will it hold? (1 point) Responses 4 cubic m 4 cubic m 3.15 cubic m 3.15 cubic m 1.575 cubic m 1.575 cubic m 0.5 cubic m
The formula to calculate the volume of a triangular prism is:
V = base area x height
First, we need to find the base area of the trough. The trough is a triangular prism, so we will calculate it as a right triangle.
Base area = (1/2) x base x height
Base area = (1/2) x 1.2 m x 0.75 m
Base area = 0.45 m^2
Now, we multiply the base area by the length of the trough to find the volume:
V = 0.45 m^2 x 3.5 m
V = 1.575 cubic meters
Therefore, the trough will hold 1.575 cubic meters of soil.
The closest answer is 1.575 cubic m.