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August 30, 2014

August 30, 2014

Posted by **j** on Monday, October 15, 2012 at 9:35pm.

- math -
**Reiny**, Monday, October 15, 2012 at 10:57pmmake a sketch of the cross-section

draw verticals from the ends of the base , to get two identical right angled triangles and a rectangle

the height of the triangle will be 70 and the top will be 35. The rectangle will be 210 by 70

Draw a water-line , let the part inside the triangle be x

and let the height of the water be d

Let's concentrate on one of the triangles.

by ratios:

x/d = 35/70

x/d = 1/2

x = d/2

Volume of water = 400( 2 triangles + rectangle)

= 400( 2(1/2)xd + 210(70) )

= 400 xd + 5880000

= 400(d/2)(d) + 5880000

= 200d^2 + 5880000 , in cm^3

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