SOLUTION: A water trough is 6 m long and its cross-section is an isosceles triangle which is 40 cm wide at the top, and the height is 40 cm. The trough is not full. Give an expression for V,

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Question 1053589: A water trough is 6 m long and its cross-section is an isosceles triangle which is 40 cm wide at the top, and the height is 40 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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The volume would be:
+V+=600%2A%281%2F2%29%2Ab%2Ad+ cm3
+V+=+300%2Ab%2Ad+ cm3
where
+b+ = base in cm
+d+ = depth of water in cm
-----------------------
The base ( water level in trough ) and depth would
be proportional to base and depth of trough
+b%2Fd+=+40%2F40+
+b+=+d+
--------------------
+V+=+300d%5E2+ cm3
Hope I got it