We save <u>$0.08</u> per cubic inch of soap if we buy the three-pack of the same soap, using the volume.
In the question, we are informed that a bar of soap with dimensions 2 * 4 * 0.5 inches is sold for $3 individually, and a three-pack of the same soap costs $8.
We are asked how much we save per cubic inch of soap if we buy the three-pack.
The volume of one soap bar = 2 * 4 * 0.5 cubic inches = 4 cubic inches.
The cost of one soap bar = $3.
Thus, the per unit cubic inch cost of buying one soap bar = $3/4 = $0.75.
The volume of the three-pack of the same soap = 3 * the volume of one = 3*4 cubic inches = 12 cubic inches.
The cost of the three-pack of the same soap = $8.
Thus, the per unit cost of buying a three-pack of the same soap bar = $8/12 = $0.67.
Thus, the saving per cubic inch of soap if you we the three-pack = $0.75 - $0.67 = $0.08.
Thus, we save <u>$0.08</u> per cubic inch of soap if we buy the three-pack of the same soap, using the volume.
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