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Step 1:I'll solve this problem step by step:
Step 2:: Understand Lumber Nominal vs.
Actual Dimensions Lumber is typically sold with nominal (named) dimensions that differ from the actual physical dimensions. This is due to the milling and planing process that reduces the raw lumber's size.
Step 3:: Standard Lumber Sizing Convention
For a 2x^10 piece of lumber: - Nominal width = 2 inches - Nominal depth = 10 inches
Step 4:: Calculate Actual Dimensions
- Actual depth: $$9.25 \text{ inches}
In reality, a 2x^10 piece of lumber typically measures:
Step 5:: Explanation of Size Reduction
The reduction occurs because: - Lumber is rough-cut to the nominal size - Planing and finishing processes smooth the wood - This reduces the dimensions by approximately 0.5 inches in width and 0.75 inches in depth
Final Answer
A 2x^10 piece of lumber actually measures 1.5 \text{ inches} \times 9.25 \text{ inches} in cross-section.
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