What Formula would I use to calculate how much my cardboard box with a surface area of 1578cm and a volume of 3078 cm would cost if cardboard was $0.05 per square inch.
You would need to change centimeters to inches first.
1 inch = 2.5 cm
If you are buying cardboard to make the box, would you want to use the surface area instead of the volume?
divide the amount by 2.5 to get inches then multiply times .05 to get the cost.
I am assuming your surface area is measured in square cm and the volume is measured in cubic inches. Right?
This is how I have worded it. Is this right?
Conversion factor 1inch = 2.5 cm
I will divide the surface area by 2.5 to get how many inches.
1578 / 2.5 = 631.2
I will then multiply 631.2 by .5 to see how much it would cost to make a regular cereal box.
631.2 · .5 = 315.6
To Manufacture a regular sized cereal box it would take $31.06.
To calculate the cost of the cardboard box, you need to convert the given measurements from centimeters to square inches.
Step 1: Convert the surface area from cm² to square inches:
Surface Area = 1578 cm²
1 square inch = 6.4516 cm²
Surface Area (in square inches) = 1578 cm² ÷ 6.4516 cm² per square inch
Step 2: Calculate the cost based on the given price of cardboard:
Price per square inch = $0.05
Cost of the cardboard box = Surface Area (in square inches) × Price per square inch
Now, let's substitute the values and calculate the cost:
Surface Area (in square inches) = 1578 cm² ÷ 6.4516 cm² per square inch
Surface Area (in square inches) ≈ 244.5 square inches
Cost of the cardboard box = 244.5 square inches × $0.05
Cost of the cardboard box ≈ $12.23
Therefore, the cost of the cardboard box would be approximately $12.23.
To calculate the cost of the cardboard box, we need to convert the surface area and volume measurements from centimeters to square inches. Then, we can multiply the surface area by the cost per square inch to determine the cost of the cardboard.
First, let's convert the measurements from centimeters to inches. Since 1 inch is equal to 2.54 cm, we can use the following conversion factors:
- Surface area: 1578 cm² * (1 in / 2.54 cm)² = (1578 / 6.4516) in² ≈ 244.80 in²
- Volume: 3078 cm³ * (1 in / 2.54 cm)³ = (3078 / 16.3871) in³ ≈ 187.81 in³
Now that we have the surface area in square inches, we can calculate the cost:
Cost = Surface Area * Cost per square inch
Cost = 244.80 in² * $0.05/in²
Cost ≈ $12.24
Therefore, the cardboard box would cost approximately $12.24.