Acompany puts bottles of lotion into boxes that are three-inch cubes. the boxes were then packed into a shipping crate,2ft x2ft x2ft. how many boxes of lotion were packed into the shipping crate to fill it completely?

To answer this item, first we need to calculate or compute for the volume of the shipping crate through the equation.
          V = L x W x H
where V is the volume,
L is length, 
W is width, and 
H is the height

Substituting,
          V = (2 ft)(2 ft)(2 ft) = 8 ft³

Then, we also need to solve for the volume of each box of lotion through the equation,
         V = e³
where e is the measure of the sides. Substituting the given value to the equation and converting it to the same unit as that of the volume of the crate.
      V = (3 in)²(1 ft/12 in)³ = 1/64 ft³

Dividing the volume of the crate by the volume of the box,
         n = 8 ft³ / (1/64 ft³)
           n = 512 boxes

ANSWER: 512 boxes