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A pound of feathers because feathers are less dense than lead and therefore take up more volume for the same mass.
Because sand is a more dense substance than feathers - it has a larger mass-to-volume ratio.
Bricks have more density whereas feathers have less comparatively. Space occupied ie volume = mass/ density. So space occupied is inversely related to the density. Hence feathers occupy more space than the bricks.
Sand. Density is mass / volume. So a higher volume will equal a lower density. Clearly a Kg of feathers will (normally) take up more volume than a Kg of sand therefore the feathers are less dense. You could think of it this way: density is measuring how close together the atoms in a substance are. When the atoms are closer together they take up less volume and the substance is more dense. If you put a Kg of feathers in a box, the feathers would not all join together perfectly meaning that there would be gaps between feathers and therefore the volume taken up by the feathers is greater. You could prove this by trying to push your hand through the feathers. You would be pushing through partly air (which is a mixture of gases and the atoms in a gas are further apart than in a solid) so the task would be easier. It is like comparing pushing your hand through a solid and pushing your hand through solids separated by gas. The latter is easier because there is some "room" for the atoms in the solid to move in to and thus for the feathers to move out of the way of your hand.
They weight exactly the same amount. Of course its going to take more feathers to make 100 lbs so the feathers are going to have a greater mass.
The feathers "take up more room" than the lead. It would be hard to compress the feathers to make them as dense as lead. The feathers have more volume.
A pound of feathers because feathers are less dense than lead and therefore take up more volume for the same mass.
A pound of feathers has more mass. The are lighter so they would take up more space to make a pound.
Because sand is a more dense substance than feathers - it has a larger mass-to-volume ratio.
You don't. 500g of lead is much smaller in volume than, say 500g in feathers. Both weigh the same but take up vastly different volume measurements. You need to refine your question.
You mixing apples and oranges. Pounds is a measure of weight. Quarts is a measure of volume. A 120 pounds of feathers will take up much more volume then 120 pounds of lead.
There is no way to compare. It's like comparing apples to oranges. A pound of lead may only take up a few fluid ounces of volume, but a pound of feathers would take up hundreds of fluid ounces of volume. There is no direct correlation between units of weight and units of volume. The density of lead is 11.34 oz/fluid oz; so a pound of lead would take up only 1.411 fluid ounces of volume. By comparison, gold has a density of 19.3 oz/fluid oz; so a pound of gold would take up only 0.829 fluid oz. (This is using Avoirdupois ounces, not Troy ounces.)
Bricks have more density whereas feathers have less comparatively. Space occupied ie volume = mass/ density. So space occupied is inversely related to the density. Hence feathers occupy more space than the bricks.
Just because two ojects occupy the same volume does not mean that they have the same mass. For example: If I have two boxes of the same dimension (volume) and fill one with hammers and the second with feathers. are they the same mass? Of course not. another way of looking at the problem at hand would be to take a tone of hammers and a tone of feathers. which one occupies the most space? the feathers of course. so to have the same mass as the hammers, the feathers need to occupy more volume.
A pillow is less dense than a lead sinker. Density is defined by mass per unit volume. So, if you have the same mass (weight) of a pillow, and a lead sinker, which will take up more space (volume)? The answer is the pillow. Thus, it is LESS dense.
Sand. Density is mass / volume. So a higher volume will equal a lower density. Clearly a Kg of feathers will (normally) take up more volume than a Kg of sand therefore the feathers are less dense. You could think of it this way: density is measuring how close together the atoms in a substance are. When the atoms are closer together they take up less volume and the substance is more dense. If you put a Kg of feathers in a box, the feathers would not all join together perfectly meaning that there would be gaps between feathers and therefore the volume taken up by the feathers is greater. You could prove this by trying to push your hand through the feathers. You would be pushing through partly air (which is a mixture of gases and the atoms in a gas are further apart than in a solid) so the task would be easier. It is like comparing pushing your hand through a solid and pushing your hand through solids separated by gas. The latter is easier because there is some "room" for the atoms in the solid to move in to and thus for the feathers to move out of the way of your hand.
That would depend on the density of the substance being measured - for instance 144 ozs of lead would take up less volume than 144 ozs of feathers.