Question

Given that 1 inch = 2.54 cm, 1 cm3 is equal to?

1) 16.4 in3
2) 6.45 in3
3) 0.394 in3
4) 0.155 in3
5) 0.0610 in3

Answer 1

1 cm3 is equal to approximately 0.0610 in3. This is because the conversion from cubic centimeters to cubic inches requires cubing the conversion factor of 2.54 cm per inch.

Step-by-step explanation:

To find the equivalent of 1 cubic centimeter (cm3) in cubic inches (in3), one should use the conversion factor where 1 inch is equal to 2.54 centimeters. Since we're converting cubic units, we need to cube the conversion factor. This means (1 in.)3 should be written as (2.54 cm)3 because 1 in. = 2.54 cm.

Therefore, 1 cm3 is equal to (1 cm3)/(2.54 cm/in.)3. Calculating this gives us (1/2.54)3 in3, which is approximately 0.0610 in3. Hence, option 5) 0.0610 in3 is the correct answer.