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Step 1:I'll solve this problem step by step, following the specified LaTeX and formatting guidelines:
Step 2:: Understand Lumber Nominal vs.
Actual Dimensions Lumber is typically sold with "nominal" dimensions that differ from the actual measured dimensions. For a 2x^3 piece of lumber, the nominal dimensions are not the same as the actual physical measurements.
Step 3:: Standard Lumber Sizing Convention
In the lumber industry, a 2x^3 is nominally 2 inches by 3 inches. However, after the wood is processed and dried, the actual dimensions are smaller.
Step 4:: Determine Actual Dimensions
- The height is reduced from 3 inches to $$2.5 \mathrm{~inches}
The actual dimensions of a 2x^3 lumber are typically: Explanation:
Step 5:: Reason for Dimensional Reduction
The reduction occurs due to: - Planing and smoothing the lumber - Drying process - Standardized manufacturing practices
Final Answer
The actual size of 2x^3 lumber is 1.5 \times 2.5 \mathrm{~inches}.
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