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Question
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
To find the volume of the triangular planting trough, we need to first find the area of the triangular base and then multiply it by the depth.
The area of a triangle can be calculated using the formula A = 0.5 * base * height. In this case, the base is 1.2 m and the height is 0.75 m (since it is the depth of the trough).
A = 0.5 * 1.2 m * 0.75 m
A = 0.45 square meters
Now, to find the volume of the trough, multiply the area of the base by the depth:
V = 0.45 square meters * 3.5 m
V = 1.575 cubic meters
Therefore, the correct response is:
1.575 cubic m