Question

name: andrea
density worksheet
perhaps someone has tried to trick you with this question: \which is heavier, a pound of lead or a pound of
feathers?\ many people would instinctively answer \lead.\ when they give this incorrect answer, these people are
really thinking of density. if a piece of lead and a feather of the same volume are weighed, the lead would have a
greater mass than the feather. it would take a much larger volume of feathers to equal the mass of a given volume
of lead.
density is the relationship of the mass of an object to its volume. density is usually reported in units of grams per
cubic centimeter ($g/cm^{3}$). for example, water has a density of $1.00 g/cm^{3}$. since a cubic centimeter contains the
same volume as a milliliter, in some cases you may see density expressed as $g/ml^{3}$.
problems find the information being asked of you in each equation. refer to your notes if needed.

1. a piece of tin has a mass of $16.52 g$ and a volume of $2.26 cm^{3}$. what is the density of tin?

$m -$
$v -$
$d -$

1. a sealed $2500 cm^{3}$ flask is full to capacity with $0.36 g$ of a substance. determine the density of the substance.

$m -$
$v -$
$d -$

1. different kinds of wood have different densities. the density of oak wood is generally $0.7 g/cm^{3}$. if a $35 cm^{3}$

piece of wood has a mass of $25 g$, is the wood likely to be oak?
$m - 25g$
$v - 35cm^{3}$
$d - 0.7g/cm^{3}$

1. what mass of water in grams will fill a tank $100 cm$ long, $50 cm$ wide, and $30 cm$ high?

$m - 150,000g$
$v - 150,000$
$d - 1g/cm^{3}$

1. a graduated cylinder is filled with water to a level of $40.0 ml$. when a piece of copper is lowered into the

cylinder, the water level rises to $63.4 ml$. find the volume of the copper sample. if the density of the copper
is $8.9 g/cm^{3}$, what is its mass?
$m -$
$v - 23.4ml$
$ - 8.9g/cm^{3}$

Explanation:

Step1: Find the volume of copper

The volume of the copper sample is equal to the change in water level in the graduated cylinder.
$$V = 63.4\space mL - 40.0\space mL=23.4\space mL$$
Since $1\space mL = 1\space cm^{3}$, so $V = 23.4\space cm^{3}$

Step2: Calculate the mass of copper

Use the formula $m=
ho V$ (where $
ho$ is density and $V$ is volume). Given $
ho = 8.9\space g/cm^{3}$ and $V = 23.4\space cm^{3}$
$$m=8.9\times23.4 = 208.26\space g$$

Answer:

The volume of the copper sample is $23.4\space cm^{3}$ and its mass is $208.26\space g$