how can I tell that this represents density? 10.6 kg/m3 (to the power of 3)?

Answer 1

By definition, density is mass per unit of volume. A kg (kilogram) is a mass unit. M^3 is a volume. Why? Volume is a 3 dimensional measure of height x width x depth. A cubic meter is a box 1 meter high x 1 meter wide x 1 meter deep (or, 1 M^3). In general, any mass unit divided by any measure cubed (cubic millimeter, mm^3, in^3, etc.) will be a measure of density.

Answer 2

The fact that the measurement is in kg/m3 would say that this represents a density.

Answer 3

Density has units of mass/volume.