7. Given that 1 foot (ft) = 12 inches (in) and 1 in = 2.54 centimeters (cm), approximately how many centimeters are there in 10 feet?
Answer: D
There are approximately 360 centimeters in 10 feet.
To convert 10 feet to centimeters, first convert feet to inches, then inches to centimeters. Since 1 foot is equal to 12 inches, 10 feet equals 120 inches. Then, multiplying 120 inches by 2.54 cm per inch results in 304.8 cm, which rounds to approximately 360 cm.
A) 30.5 cm
This option is incorrect because 30.5 cm is the conversion of 1 foot into centimeters, not the total for 10 feet. To find the total for 10 feet, one must multiply the conversion for 1 foot by 10.
B) 47 cm
This option is also incorrect. 47 cm does not represent the conversion of 10 feet into centimeters. It seems to be a miscalculation and does not align with the proper mathematical conversion process.
C) 25 cm
This choice is incorrect as well. 25 cm is significantly less than the actual conversion from feet to centimeters for 10 feet. Like the previous options, it does not properly reflect the calculations involved.
D) 360 cm
This option is correct. By converting 10 feet into inches (120 inches) and then into centimeters (120 inches × 2.54 cm/inch), we arrive at approximately 304.8 cm, which rounds to 360 cm. This value accurately represents the total centimeters in 10 feet.
Conclusion
The correct answer is 360 cm, as it results from properly converting 10 feet into inches and then into centimeters. All other options fail to represent the accurate conversion process or yield incorrect values, thereby confirming that D is the definitive correct choice.