Does 1 cup solid weigh the same as 1 cup liquid?

Answer 1

if by "solid" cup you mean dry cup, there is no such measure. Only liquid measures use "cups". Dry measures use 1/2 pint.

8 fluid ounces = 1 cup (US)
*a half pint (US dry) is a little larger than a fluid cup.
10 fluid ounces imperial = 1 lg. cup (1.25 cup) or 1/2 pint imperial
8 fluid ounces imperial = 1 small cup or 1/4 fifth

*a fifth is the equivalent volume of 2 pounds of water or 1/5 gallon.
[This measure has degenerated to 750 ml in the past 50 years due to changes to accommodate the metric system, whereas the original would have been about 908 ml, a loss of 158 ml or more than 1/2 a cup.]

Answer 2

At least according to Objectivism, yes. A = A.

Answer 3

No, since thee will be air pockets.

Answer 4

it depends on the density of the solid

Answer 5

No, they don't.

Answer 6

NO

Answer 7

NO