Question

A company 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?

Answer 1

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