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A 120 ft long Type C trench is cut with a 4 ft bottom width and a 6 ft depth. If side slopes are 1-1/2 horizontal to 1 vertical, what excavation volume is closest?

Correct Answer

A) 347 cy

Each side widens 1.5 x 6 = 9 ft, so top width is 4 + 18 = 22 ft. Average width is (4 + 22)/2 = 13 ft. Volume is 120 x 13 x 6 = 9,360 cf, and 9,360/27 = 346.7 cy, or about 347 cy. Other choices use the bottom width only, one side slope only, or a 1H:1V slope.

Answer Options
A
347 cy
B
267 cy
C
293 cy
D
320 cy

Why This Is the Correct Answer

Each side widens 1.5 x 6 = 9 ft, so top width is 4 + 18 = 22 ft. Average width is (4 + 22)/2 = 13 ft. Volume is 120 x 13 x 6 = 9,360 cf, and 9,360/27 = 346.7 cy, or about 347 cy. Other choices use the bottom width only, one side slope only, or a 1H:1V slope.

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