Question

Which of the following units is incommensurable with kilograms

Answer 1

The unit that is incommensurable with kilograms is D. gallons. Therefore , D. gallons is correct .

Kilograms and gallons represent different physical quantities—mass and volume, respectively.

Kilograms are a unit of mass in the metric system, commonly used for expressing the amount of matter in an object. On the other hand, gallons are a unit of volume primarily used for measuring the capacity of liquid containers.

The relationship between kilograms and gallons is not straightforward, as it depends on the density of the substance being measured.

While pounds (A) and ounces (B) are also units of mass, they belong to the imperial system. However, they are commensurable with kilograms, as there is a conversion factor between them (1 kilogram = 2.20462 pounds, and 1 kilogram = 35.27396 ounces).

Tons (C) are a larger unit of mass, and they are commensurable with kilograms through a conversion factor (1 ton = 1,000 kilograms).

Question

Which of the following units is incommensurable with kilograms? A. pounds B. ounces C. tons D. gallons.

Answer 2

All units of measurement that are not based on or do not measure mass or weight and volume are incommensurable with kilograms.

Explanation:

A measure unit is said to be incommensurable with another if it does not have the same measurement basis with the other measure unit. For example, a measure in time cannot be measured in kilograms because time is measured in hours, minutes, seconds, days, etc. But, if a measurement base can be applied to two or more measurement units, then the measurement units are commensurable with the measurement base.