3. Fifteen strips, $$ 11 / 4^{\prime \prime} $$ wide, are to be ripped from a sheet of plywood. If $$ 1 / 8^{\prime \prime} $$ is lost with each cit, how much of the plywood sheet is used in making the 15 strips? (Assume 15 cuts are necessary.)

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To determine how much of the plywood sheet is used in making the 15 strips, we need to account for both the width of the strips and the material lost during each cut.

1. **Width of the Strips:**
   - Each strip is $$ \frac{11}{4} $$ inches wide.
   - For 15 strips: 
     $$
     15 \times \frac{11}{4} = \frac{165}{4} \text{ inches}
     $$

2. **Material Lost Due to Cuts:**
   - Each cut loses $$ \frac{1}{8} $$ inch.
   - For 15 cuts: 
     $$
     15 \times \frac{1}{8} = \frac{15}{8} \text{ inches}
     $$

3. **Total Plywood Used:**
   - Add the width of the strips and the material lost:
     $$
     \frac{165}{4} + \frac{15}{8} = \frac{330}{8} + \frac{15}{8} = \frac{345}{8} \text{ inches}
     $$
   - Simplifying $$ \frac{345}{8} $$:
     $$
     \frac{345}{8} = 43 \frac{1}{8} \text{ inches}
     $$

**Final Answer:**
A total of 43 1⁄8 inches of the plywood sheet is used.
A total of 43 1⁄8 inches of the plywood sheet is used.

3. Fifteen strips, \( 11 / 4^{\prime \prime} \) wide, are to be ripped from a sheet of plywood. If \( 1 / 8^{\prime \prime} \) is lost with each cit, how much of the plywood sheet is used in making the 15 strips? (Assume 15 cuts are necessary.)

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