Question

defining density
have you ever noticed that some objects are heavier than others, even though they might be the same size? this difference in weight is caused by the density of the objects. density is a measure of how much mass is packed into a certain amount of space. it is usually measured in grams per milliliter (g/ml) or grams per cubic centimeter (g/cm³).
to calculate density, you need to know both the mass of the object and its volume. mass is the amount of matter in an object, and it is usually measured in grams (g) or kilograms (kg). volume is the amount of space an object takes up, and it is usually measured in liters (l), cubic meters (m³), or cubic centimeters (cm³).
density formula:
d = m / v
d = m ÷ v
to calculate density, you divide the mass of the object by its volume. for example, if you have a rock that has a mass of 50 grams and a volume of 10 cubic centimeters, you can calculate its density by dividing its mass by its volume:
formula: d = m ÷ v
substitution: d = 50 g / 10 cm³
evaluation: d = 5 g/cm³
directions: use the formula and steps above to calculate density for the materials below.

1. a liquid with a mass of 45 g and a volume of 15 ml.
2. a solid with a mass of 200 g and a volume of 4 cm³.

f:
s:
e:
f:
s:
e:

Explanation:

Step1: Recall density formula

$D=\frac{M}{V}$

Step2: Solve for liquid density

Given $M = 45\ g$ and $V=15\ mL$, substitute into formula: $D=\frac{45\ g}{15\ mL}=3\ g/mL$

Step3: Solve for solid density

Given $M = 200\ g$ and $V = 4\ cm^{3}$, substitute into formula: $D=\frac{200\ g}{4\ cm^{3}}=50\ g/cm^{3}$

Answer:

1. F: $D=\frac{M}{V}$

S: $D=\frac{45\ g}{15\ mL}$
E: $D = 3\ g/mL$

1. F: $D=\frac{M}{V}$

S: $D=\frac{200\ g}{4\ cm^{3}}$
E: $D = 50\ g/cm^{3}$