11. Given that 1 inch (in) = 2.54 centimeters (cm) and that 1 cm = 10 millimeters (mm), what length in inches is equivalent to 2159 mm ?
Answer: A
85 in
To find the length in inches equivalent to 2159 mm, we first convert millimeters to centimeters by dividing by 10, which gives us 215.9 cm. Then, by dividing this number by 2.54, we arrive at approximately 85 inches.
A) 85 in
Option A is correct because it accurately represents the conversion from 2159 mm to inches. The conversion steps are correctly executed, resulting in 85 inches, which aligns with the established conversion factors.
B) 5438.6 in
Option B is incorrect as it significantly overestimates the conversion from millimeters to inches. This value does not align with the conversion calculations, suggesting a miscalculation or misunderstanding of the conversion factors involved.
C) 8.5 in
Option C is also incorrect, as it underestimates the length derived from 2159 mm. The conversion process clearly shows that the result should be much larger than 8.5 inches, indicating a failure to properly apply the conversion factors.
D) 548,386 in
Option D is incorrect due to the extreme overestimation it presents. Such a value is far greater than what would be expected from converting 2159 mm to inches, demonstrating a critical error in the conversion calculation.
Conclusion
The correct answer, 85 inches, is derived through accurate conversion methods from millimeters to centimeters and then to inches. All other options fail to provide valid results based on the established conversion factors, either by grossly underestimating or overestimating the length.