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?
To find the volume of the triangular trough, we need to first calculate the area of the triangular cross-section at the top of the trough.
The area of a triangle is given by the formula:
Area = 1/2 * base * height
In this case, the base is 1.2 m and the height is 0.75 m.
Area = 1/2 * 1.2 m * 0.75 m
Area = 0.45 m^2
Now, we can find the volume of the trough by multiplying the area of the top triangular cross-section by the length of the trough:
Volume = area * length
Volume = 0.45 m^2 * 3.5 m
Volume = 1.575 m^3
Therefore, the trough will hold 1.575 cubic meters of soil.