A feeding trough is in the shape of a triangular prism. The height of the triangular region is 25 cm, the base of the triangular region is 40 cm and the length of the trough is 200 cm. What is the volume of the of the trough in millilitres?

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the answer is 62.8 cubic units

answer: answer is b.

[m < b = 120º]

step-by-step explanation: