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7. There are 15 risers in a set of stairs running from the basement to the first floor. Each riser is \( 71 / 4^{\prime \prime} \) high. What is the distance between floors?

Ask by Erickson John. in the United States
Feb 02,2025

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Answer

The distance between floors is 266.25 inches.

Solution

To find the distance between floors, we need to calculate the total height of the risers in the set of stairs. Given: - Number of risers = 15 - Height of each riser = \( \frac{71}{4} \) inches To find the total height of the risers, we can multiply the number of risers by the height of each riser. Total height of risers = Number of risers * Height of each riser Let's calculate the total height of the risers. Calculate the value by following steps: - step0: Calculate: \(\frac{15\times 71}{4}\) - step1: Multiply the numbers: \(\frac{1065}{4}\) The total height of the risers is \( 266.25 \) inches. Therefore, the distance between floors is \( 266.25 \) inches.

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To find the distance between the floors, multiply the number of risers by the height of each riser. So, you take 15 risers and multiply them by \( \frac{71}{4} \) inches (which is 17.75 inches). This equals \( 15 \times 17.75 = 266.25 \) inches. To convert this to feet, divide by 12 (since there are 12 inches in a foot): \( \frac{266.25}{12} = 22.1875 \) feet. Therefore, the distance between the floors is approximately 22.19 feet! It's always good practice to double-check calculations, especially with units. Ensure that you're consistently using either inches or feet to avoid confusion. If you find you’ve miscalculated a riser count or the height, it could lead to a surprising height discrepancy!

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