1. **State the problem:** We need to find the depth (height) of the inside of a microwave oven given its volume in cubic feet and its width and length in inches. 2. **Given:** - Volume $V = 1.2$ cubic feet - Width $w = 18$ inches - Length $l = 10$ inches - Height $h = ?$ inches 3. **Convert volume to cubic inches:** Since $1$ cubic foot = $12 \times 12 \times 12 = 1728$ cubic inches, $$ 1.2 \text{ cubic feet} = 1.2 \times 1728 = 2073.6 \text{ cubic inches} $$ 4. **Use the volume formula for a rectangular prism:** $$ V = l \times w \times h $$ Substitute known values: $$ 2073.6 = 18 \times 10 \times h = 180h $$ 5. **Solve for $h$:** $$ h = \frac{2073.6}{180} $$ Show canceling common factors: $$ h = \frac{\cancel{2073.6}}{\cancel{180}} = 11.52 $$ 6. **Final answer:** The depth (height) of the microwave is approximately **11.5 inches** to the nearest tenth.