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

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.