Question

If a cubic yard of sand weighs 1.5 (US) tons, how many 11x6x7 inch ammo boxes can be completely filled with 1 ton of sand?

Answer 1

Boxes ≅ 87.17

Explanation:

We must find how much 1 ton occupies.

`V_(s)=(Ton*y^(3) )/(1.5Ton)=0.66m^(3)` so if the volume of the box is
`V_(b) =11*6*7=462inch^(3)` and if
`1inch=0.0254yd\\1inch^(3)=(0.0254yd)^(3)=1.638*10^(-5)yd^(3)` now
`(462inch^(3)*1.638*10^(-5)yd^(3))/(inch^(3))=7.57*10^(-3)yd^(3)`

Finally if one box is filled with
`7.57*10^(-3)yd^(3)` how many boxes will be filled with
`0.66yd^(3)`

`Boxes =(0.66)/(7.57*10^(-03))`

Boxes ≅ 87.17