Answer to Question #206195 in Civil and Environmental Engineering for John

Question #206195

The railroad cut shown in the figure has sides inclined at 45 degrees to the horizontal. the base of the cuts is a horizontal rectangle and the ends are vertical. the depth of the cut at each of the points A, B, C, D is indicated in the figure. Find the cost of the making the cut at 1 dollars per cube yard

1
Expert's answer
2021-06-15T16:51:01-0400

If we can assume the diagram given to be a triangular prism



Surface area

Where l=10ft; s=5 ft

Then

Similarly we can find the base,

Therefore, the full length of the base is

Also we can find the volume of the figure above

Cube foot to cube yards

1 Cube foot 0.037037 cube yards

564.2 Cube foot = 20.896296 cube yards

The cost will be

1 cube yards = $ 1

20.896296 cube yards = $ 20.896296


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