Question

A bar of soap with dimensions 2 x 4 x 0.5 inches is sold for $3 individually. A three-pack of the same soap costs $8. How much do you save per cubic inch of soap if you buy the three-pack

Answer 1

We save $0.08 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 $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

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