Problem Analysis and Solution:
The worksheet focuses on the concepts of
mass,
volume, and
density. Let's solve each question step by step.
---
####
Question 1: Density is
-
Options:
a. matter/solids.
b. volume/mass.
c. gas/liquid.
d. mass/volume.
-
Solution:
Density is defined as the mass of an object divided by its volume. The formula for density is:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Therefore, the correct answer is:
\[
\boxed{d}
\]
---
####
Question 2: All of the following are acceptable units for density, EXCEPT
-
Options:
a. g/mL.
b. kg/L.
c. g/cc.
d. g/cm.
-
Solution:
Density is typically expressed in units of mass per unit volume. Let's analyze each option:
-
a. g/mL: Grams per milliliter is a valid unit for density.
-
b. kg/L: Kilograms per liter is a valid unit for density.
-
c. g/cc: Grams per cubic centimeter is a valid unit for density (cc stands for cubic centimeter).
-
d. g/cm: Grams per centimeter is
not a valid unit for density because it represents mass per length, not mass per volume.
Therefore, the incorrect unit is:
\[
\boxed{d}
\]
---
####
Question 3: Given the mass and density of an object, which equation should be used to calculate the volume of the object?
-
Options:
a. \( \text{volume} = \frac{\text{mass}}{\text{density}} \)
b. \( \text{volume} = \frac{\text{density}}{\text{mass}} \)
c. \( \text{volume} = \text{mass} + \text{density} \)
d. \( \text{volume} = (\text{density}) \times (\text{mass}) \)
-
Solution:
The formula for density is:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
To find the volume, we rearrange this formula:
\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]
Therefore, the correct equation is:
\[
\boxed{a}
\]
---
####
Question 4: If a green ball is denser than a white ball of the same size, the green ball has
-
Options:
a. less volume.
b. more volume.
c. more matter taking up the same space.
d. less matter taking up the same space.
-
Solution:
Density is defined as the amount of matter (mass) packed into a given volume. If the green ball is denser than the white ball and both have the same size (volume), then the green ball must have more matter (mass) packed into the same volume. Therefore, the correct answer is:
\[
\boxed{c}
\]
---
####
Question 5: What is the density of an object that has a mass of 184g and a volume of 50cm³?
-
Options:
a. 9200 g/cm³
b. 3.68 g/cm³
c. 0.271 g/cm³
d. 3.74 g/cm³
-
Solution:
The formula for density is:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Substituting the given values:
\[
\text{Density} = \frac{184 \, \text{g}}{50 \, \text{cm}^3} = 3.68 \, \text{g/cm}^3
\]
Therefore, the correct answer is:
\[
\boxed{b}
\]
---
Final Answers:
1. \(\boxed{d}\)
2. \(\boxed{d}\)
3. \(\boxed{a}\)
4. \(\boxed{c}\)
5. \(\boxed{b}\)
Parent Tip: Review the logic above to help your child master the concept of density questions worksheet.
