Thursday

October 30, 2014

October 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

**Answer this Question**

**Related Questions**

Calculus Help Please!!! - A water trough is 5 m long and has a cross-section in ...

Calculus - A water trough is 6 m long, and its cross-section has the shape of an...

calculus - A water-trough is 10m long and has a cross-section which is the shape...

maths - A large canal will have a cross-section in the shape of an isosceles ...

Math - A trough is 8 meters long, 3 meters wide, and 5 meters deep. The vertical...

I NEED HELP PLEASE - A trough is 8 meters long, 3 meters wide, and 5 meters deep...

Calculus - A trough is 5 meters long, 1 meters wide, and 4 meters deep. The ...

Calculus - A trough is 5 meters long, 1 meters wide, and 4 meters deep. The ...

DUE AT MIDNIGHT PLEASE HELP- Calculus - A trough is 5 meters long, 1 meters wide...

calculus - the cross section of a 5-ft long trough is an isosceles trapezoid ...