Question

which has more mass: an armful of feathers or an armful of lead?
○ an armful of feathers
○ an armful of lead
○ both have the same mass.
which has more volume: a kilogram of feathers or a kilogram of lead?
○ a kilogram of feathers
○ a kilogram of lead
○ both have the same volume.
which has higher density: a kilogram of feathers or a kilogram of lead?
○ a kilogram of feathers
○ a kilogram of lead
○ both have the same density.

Explanation:

First Question (Mass of Armful of Feathers vs Lead)

An armful means similar volume (since you can hold a similar amount in your arms). Lead has a much higher density ($
ho$) than feathers. Mass $m =
ho \times V$. For same $V$, higher $
ho$ means higher $m$. So lead has more mass.

Mass $m = 1$ kg for both. Density $
ho_{lead} >
ho_{feathers}$. From $V=\frac{m}{
ho}$, lower $
ho$ means higher $V$. Feathers have lower density, so 1 kg of feathers has more volume.

Density is an intrinsic property of a material. Lead is denser than feathers (lead's density is much higher than feathers' density, regardless of mass/volume). So lead has higher density.

Answer:

an armful of lead

Second Question (Volume of 1 kg Feathers vs Lead)