What is the density of a 12.475g piece of metal that causes the level of water in a graduated cylinder to rise from 5.0 to 6.1 ml when the metal is submerged in the water?
consider significant figures when doing the calculation.

11.3 g/mL.

Explanation:

Density is a characteristic property of a substance.The density of a substance is the relationship between the mass of the substance and the volume it takes up.

d = m/V,

where, d is the density of the metal,

m is the mass of the metal (m = 12.475 g),

V is the volume that the metal takes up (V = 6.1 mL - 5.0 mL = 1.1 mL).

∴ d = m/V = (12.475 g)/(1.1 mL) = 11.34 g/mL ≅ 11.3 g/mL.

The significant figures has its rules in the calculations; the result has a significant figures to the lowest no. of significant figures (1.1 has two significant figures, while 12.475 has 5 significant figures), so the result should have only 2 significant figures.

Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant.