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

Answer:

Boxes ≅ 87.17

Step-by-step explanation:

We must find how much 1 ton occupies.

$V_{s}=\frac{Ton*y^{3} }{1.5Ton}=0.66m^{3}$ 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 $\frac{462inch^{3}*1.638*10^{-5}yd^{3}}{inch^{3}}=7.57*10^{-3}yd^{3}$

Finally if one box is filled with $7.57*10^{-3}yd^{3}$ how many boxes will be filled with $0.66yd^{3}$

$Boxes =\frac{0.66}{7.57*10^{-03}}$

Boxes ≅ 87.17