If foot : inch = 1 : 12, how many feet are equal to 456 inches?
The correct answer and explanation is:
To solve the problem, start with the given ratio:
1 foot = 12 inches
The question asks how many feet are equal to 456 inches.
To find this, divide the total number of inches by the number of inches in one foot: 456 inches12 inches per foot=38 feet\frac{456\ \text{inches}}{12\ \text{inches per foot}} = 38\ \text{feet}
Correct Answer: 38 feet
Explanation:
The relationship between feet and inches is a standard unit conversion in the imperial system. According to the given ratio, 1 foot is equal to 12 inches. This means for every 1 foot, there are 12 inches. When solving problems involving such ratios, one can use division to convert a larger unit to a smaller one or vice versa depending on the direction of conversion.
In this case, the goal is to convert inches into feet. Since 12 inches make up 1 foot, the number of feet in 456 inches can be found by dividing 456 by 12. This method is reliable and consistent when working with unit conversions. The division results in a whole number, 38, indicating that 456 inches equal exactly 38 feet, with no remaining inches.
This conversion is useful in many real-life applications, such as measuring height, length, or distance using standard units. It helps maintain accuracy in calculations related to construction, tailoring, architecture, and daily measurements. Understanding how to convert between different units helps in interpreting measurements correctly and communicating them effectively.
By mastering such conversions, one can easily switch between various measurement units and make accurate decisions based on the required unit. In academic settings, such problems test understanding of ratios and proportions and reinforce arithmetic skills through practical applications.