A roughly conical stockpile has a 30 ft diameter and 10 ft height. Using V = 1/3 x pi x r^2 x h, what is the approximate volume in cubic yards?
Correct Answer
A) 87.3 cu yd
Radius is 15 ft. Volume is 1/3 x pi x 15^2 x 10 = 2,356 cu ft; 2,356 / 27 = 87.3 cu yd.
Why This Is the Correct Answer
Radius is 15 ft. Volume is 1/3 x pi x 15^2 x 10 = 2,356 cu ft; 2,356 / 27 = 87.3 cu yd.
Why the Other Options Are Wrong
Option B: 174.5 cu yd
stockpile cone volume, choice a: 174.5 cu yd reflects a different quantity stage than the final takeoff.
Option C: 26.2 cu yd
stockpile cone volume, choice b: 26.2 cu yd is wrong because 26.2 cu yd reflects a different quantity stage than the final takeoff.
Option D: 235.6 cu yd
stockpile cone volume, choice d: 235.6 cu yd reflects a different quantity stage than the final takeoff.
Memory Technique
Say the stockpile cone volume rule aloud as a chain; the chain ends at 87.3 cu yd, not an intermediate stop.
Reference Hint
Open Pipe and Excavation Contracting, 2011; use by topic index - earthwork volume / swell / shrink to confirm that Radius is 15 ft.
More NASCLA Questions
Bid instructions require bid security with each sealed bid. Which purpose should the estimator associate with that requirement?
A wood deck surface has 320 sf of coverage. Boards have a 5-1/2 in. actual face width, and the order includes an 8 percent cutting allowance. What linear footage is closest?
Using the dimensions shown for the stabilized construction entrance, what is the plan area?
A reroof area requires 14,720 sf of rigid insulation. Boards are 4 ft by 8 ft, and the order includes 5 percent waste. How many boards are needed?
Two addenda revise the drawings before bid day. What must a responsive bidder normally do with those addenda?
A utility trench is 180 ft long, 3 ft wide, and 7 ft deep with vertical sides inside a trench shield. What excavation volume is required?
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?
A storm pipe run needs 240 ft of bedding, 4 ft wide and 6 in. thick. Including a 10 percent ordering allowance, how many cubic yards of bedding aggregate are needed?
A mass excavation produces 1,180 loose cubic yards of material for off-site disposal. End-dump trucks can haul 18 loose cubic yards per trip. What truck count is required?
An asphalt-shingle roof has a slope of 3:12. Under the IBC low-slope asphalt-shingle provisions, what underlayment arrangement is required?
People Also Study
Business & Financial Management
120 questions · 70% to pass
Contract Administration
60 questions · 70% to pass
Project Management
60 questions · 70% to pass