SOLUTION: parking lot of 4000 feet by 200 feet. The specification requires 8 inches of number 2 stone be place prior to paving. Stone weighs 1950 pounds per cubic yard. How many tons of s

Algebra ->  Volume -> SOLUTION: parking lot of 4000 feet by 200 feet. The specification requires 8 inches of number 2 stone be place prior to paving. Stone weighs 1950 pounds per cubic yard. How many tons of s      Log On


   

Question 1128068: parking lot of 4000 feet by 200 feet. The specification requires 8 inches of number 2 stone be place prior to paving. Stone weighs 1950 pounds per cubic yard. How many tons of stone is required for the job?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The stone will be shaped into a rectangular prism
200ft wide,
4000ft long, and
%288inch%29%281ft%2F%2212+inch%22%29=2%2F3ft high.
The volume, in cubic feet of that amount of stone is
200%2A4000%282%2F3%29

1cubicyard%22=%22%281yard%29%281yard%29%281yard%29=%283ft%29%283ft%29%283ft%29%22=%2227cubicfeet .
In other words, 1cubicfoot%22=%221%2F27cubicyard ,
so in cubic yards the volume of stone needed is
200%2A4000%282%2F3%29%281%2F27%29=about19753 ,
and the weight of that much stone, in pounds, will be
200%2A4000%282%2F3%29%281%2F27%291950=%2238%2C518%2C519%22 .

An american ton (or short ton) is 2000 pounds,
so in USA and Canada we would say that the stone for the parking lot would weigh
200%2A4000%282%2F3%29%281%2F27%291950%281%2F2000%29%22=%22about%2219%2C259%22tons
If I had to order it, I would order 20,000 tons.

NOTE:
The metric ton, and the UK long ton are different units.