Final answer:
To determine the number of sheets of cardboard in a stack, calculate the total volume of the stack and then find the total volume of the cardboard sheets based on the given dimensions.
Explanation:
In this scenario, to determine the number of sheets of cardboard in a stack, you need to calculate the total volume of the stack. The formula for volume is given by length × width × height.
- First, calculate the volume of the stack by multiplying the given dimensions: 6 in. × 3 in. × 0.5 in., resulting in a volume of 9 in.³.
- Next, calculate the number of stacks based on the total volume and the volume of a single stack: 9 in.³ / (9 × 10³ in.³) = 10³ stacks.
- Finally, find the total volume of the cardboard sheets by multiplying the volume of a single stack by the number of stacks: 9 in.³/stack × 10³ stacks, equaling 9 × 10⁶ in.³.
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