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 cut, 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 due to the cuts.

1. **Width of the Strips:**
   - Each strip is $$ \frac{11}{4} $$ inches wide.
   - For 15 strips:
     $$
     15 \times \frac{11}{4} = \frac{165}{4} = 41.25 \text{ inches}
     $$

2. **Material Lost to Cuts:**
   - Each cut loses $$ \frac{1}{8} $$ inch.
   - Assuming 15 cuts:
     $$
     15 \times \frac{1}{8} = \frac{15}{8} = 1.875 \text{ inches}
     $$

3. **Total Plywood Used:**
   - Sum the width of the strips and the material lost to cuts:
     $$
     41.25 \text{ inches} + 1.875 \text{ inches} = 43.125 \text{ inches}
     $$
   - This can be expressed as:
     $$
     43 \frac{1}{8} \text{ inches} \quad \text{or} \quad \frac{345}{8} \text{ inches}
     $$

**Final Answer:**
A total of 43 1⁄8 inches of plywood is used in making the fifteen strips.
A total of 43 1⁄8 inches of plywood is used to make the 15 strips.

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 cut, how much of the plywood sheet is used in making the 15 strips? (Assume 15 cuts are necessary.)

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