To calculate the cost of manufacturing a cereal box based on the cost of cardboard per square inch, we first need to determine the surface area of the cereal box.
Assume a standard rectangular prism cereal box with dimensions:
- Length (L) = 10 inches
- Width (W) = 4 inches
- Height (H) = 14 inches
The surface area (SA) of a rectangular prism is calculated using the formula:
\[ SA = 2(LW + LH + WH) \]
Plugging in the given dimensions:
\[ SA = 2(10 \times 4 + 10 \times 14 + 4 \times 14) \]
\[ SA = 2(40 + 140 + 56) \]
\[ SA = 2(236) \]
\[ SA = 472 \text{ square inches} \]
Given that the cost of cardboard is $0.01 per square inch, the total cost (C) is:
\[ C = 472 \times 0.01 \]
\[ C = 4.72 \]
None of the given options match this calculation. Recheck the problem for any additional information or constraints that might have been missed, or ensure that the dimensions were provided accurately.
3. Calculate the cost of manufacturing this cereal box if cardboard costs $0.01 per square inch.
*
$0.24
$0.88
$1.32
$2.09
$2.33
1 answer