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A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with
dimensions 2 x 8 x 9 inches costs $4.50. What is the difference in price per cubic inch?

Respuesta :

saltedpasta
Cubic inch means we are dealing with volume.

So,

Calculate the volume of both boxes.

1. 3x9x12 = 324 cubic inches

2. 2x8x9 = 144 cubic inches

First box costs $6 for 324 cubic inches, so if you divide 6 by 324 you will get the price for 1 cubic inch of the box.

6/324 = $0.018518518518519

2.

Second box costs $4.50 for 144 cubic inches.

4.5/144 = $0.03125

Subtract the cheaper one from the more expensive one to find the difference.

0.03125 - 0.018518518518519 = 0.012731481481481

The difference in price per cubic inch is

$0.012731481481481

Or about 1.3 cents.

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