Question 11

1 yard is approximately 90 centimeters.

To convert yards to centimeters, it is essential to first convert yards to feet, then feet to inches, and finally inches to centimeters. Given that 1 yard equals 3 feet, and subsequently, each foot contains 12 inches, we can calculate that 1 yard equals 36 inches. Multiplying 36 inches by 2.54 cm per inch results in approximately 91.44 cm, which rounds to 90 cm as the best estimate.

A) 180 cm

This option is incorrect because 180 cm significantly overestimates the conversion from yards to centimeters. The calculation shows that 1 yard is approximately 91.44 cm, far less than 180 cm.

B) 72 cm

This option is also incorrect. While it is a plausible number, the actual conversion from 1 yard to centimeters exceeds 72 cm. The proper conversion shows that 1 yard equals about 91.44 cm.

C) 36 cm

This option is incorrect as well. 36 cm underestimates the length of 1 yard. Since 1 yard equals 3 feet and each foot is 30.48 cm, the total should be around 91.44 cm, not 36 cm.

D) 90 cm

This option is the best estimate. By performing the necessary conversions, we find that 1 yard is approximately 91.44 cm, which rounds to 90 cm, making it the most accurate answer among the choices provided.

Conclusion

In summary, 90 cm is the best estimate for the number of centimeters in 1 yard, derived from a systematic conversion process. All other options fail to accurately reflect this conversion, either by significantly underestimating or overestimating the value. Thus, D is the correct response based on the calculations.