The first box costs $6 and is 16in height, 4in width, and 10in length. The second box costs 2 dollars and is 10in height, 2in width, and 8 in length box gives you more cereal for your money?

Question

The first box costs $6 and is 16in height, 4in width, and 10in length.  The second box costs 2 dollars and is  10in height, 2in width, and 8 in length box gives you more cereal for your money?

First, solve for the volume of each box of cereal. FORMULA SHEET

Second, find the UNIT PRICE for each box. PRICE/Cubic Inch. DO NOT ROUND. WRITE OUT ALL OF THE DECIMALS.

Third, compare the prices. Which box of cereal is cheaper per cubic inch?

GPT 3.5 · Answer

1. Calculate the volume of each box:
- First box: 16 x 4 x 10 = 640 cubic inches
- Second box: 10 x 2 x 8 = 160 cubic inches

2. Calculate the unit price for each box:
- First box: $6 / 640 cubic inches = $0.009375 per cubic inch
- Second box: $2 / 160 cubic inches = $0.0125 per cubic inch

3. Compare the prices:
The first box is cheaper per cubic inch, at $0.009375 compared to $0.0125 for the second box. Therefore, the first box gives you more cereal for your money.