What is the difference in price per cubic inch?
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.
6.00/(3x9x12) - 4.50/(2x8x9) = ?
-0.01273148148?
To find the difference in price per cubic inch between the family-sized box and the regular-sized box of cereal, we need to calculate the volume of each box and then divide the difference in price by the difference in volume.
First, let's calculate the volume of the family-sized box:
Volume = length x width x height
Volume = 3 inches x 9 inches x 12 inches
Volume = 324 cubic inches
Next, let's calculate the volume of the regular-sized box:
Volume = length x width x height
Volume = 2 inches x 8 inches x 9 inches
Volume = 144 cubic inches
Now, let's calculate the price per cubic inch for each box:
Price per cubic inch for the family-sized box = $6 / 324 cubic inches
Price per cubic inch for the family-sized box ≈ $0.0185 per cubic inch
Price per cubic inch for the regular-sized box = $4.50 / 144 cubic inches
Price per cubic inch for the regular-sized box ≈ $0.0313 per cubic inch
Finally, let's calculate the difference in price per cubic inch between the two box sizes:
Difference in price per cubic inch = Price per cubic inch for the regular-sized box - Price per cubic inch for the family-sized box
Difference in price per cubic inch = $0.0313 - $0.0185
Difference in price per cubic inch ≈ $0.0128
The difference in price per cubic inch between the family-sized box and the regular-sized box of cereal is approximately $0.0128.
To find the difference in price per cubic inch between the two boxes of cereal, we need to calculate the price per cubic inch for each box individually and then compare them.
First, let's calculate the volume of each box.
For the family-sized box:
Volume = length x width x height
Volume = 3 inches x 9 inches x 12 inches
Volume = 324 cubic inches
For the regular-sized box:
Volume = length x width x height
Volume = 2 inches x 8 inches x 9 inches
Volume = 144 cubic inches
Next, we can calculate the price per cubic inch for each box.
For the family-sized box:
Price per cubic inch = Total price / Volume
Price per cubic inch = $6 / 324 cubic inches
Price per cubic inch ≈ $0.0185
For the regular-sized box:
Price per cubic inch = Total price / Volume
Price per cubic inch = $4.50 / 144 cubic inches
Price per cubic inch ≈ $0.0313
Now we can find the difference in price per cubic inch.
Difference in price per cubic inch = Price per cubic inch of family-sized box - Price per cubic inch of regular-sized box
Difference in price per cubic inch = $0.0185 - $0.0313
Difference in price per cubic inch ≈ -$0.0128
Therefore, the difference in price per cubic inch between the two boxes is approximately -$0.0128. This means that the regular-sized box is cheaper per cubic inch compared to the family-sized box.