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A water trough is 8 m long and its cross-section is an isosceles triangle which is 120 cm wide at the top, and?
A water trough is 8 m long and its cross-section is an isosceles triangle which is 120 cm wide at the top, and the height is 60 cm. The trough is not full. Give an expression for V, the volume of water in the trough in cm3, when the depth of the water is d cm.
Thank you!
1 Answer
- PuzzlingLv 77 years agoFavorite Answer
The ends of the trough are isosceles triangles with a "base" of 120 cm and a height of 60 cm. The area of a triangle is ½bh. Since the base is twice the height, we can replace b = 2h. So the area of an end is ½(2h)h
= h²
The length is 8m = 800cm
The volume of water in the trough is given by the area of the end (d²) times the length (800).
Answer:
V = 800d²
