Problem Analysis:
The task involves determining the volume of solid objects using a graduated cylinder. The principle used here is the
displacement method, where the volume of a solid object is calculated by measuring the increase in the water level in the graduated cylinder after the object is submerged.
#### Key Steps:
1.
Initial Volume: Note the initial volume of water in the graduated cylinder.
2.
Final Volume: Measure the volume of water after the solid object is submerged.
3.
Volume of Solid: Subtract the initial volume from the final volume to find the volume of the solid object.
Solution for Each Problem:
####
Left Column:
1.
First Row:
- Initial Volume: 30 mL
- Final Volume: 35 mL
- Volume of Solid: \( 35 \, \text{mL} - 30 \, \text{mL} = 5 \, \text{mL} \)
- Answer:
35.0 mL
2.
Second Row:
- Initial Volume: 10 mL
- Final Volume: 18 mL
- Volume of Solid: \( 18 \, \text{mL} - 10 \, \text{mL} = 8 \, \text{mL} \)
- Answer:
18.0 mL
3.
Third Row:
- Initial Volume: 10 mL
- Final Volume: 12 mL
- Volume of Solid: \( 12 \, \text{mL} - 10 \, \text{mL} = 2 \, \text{mL} \)
- Answer:
12.0 mL
####
Right Column:
1.
First Row:
- Initial Volume: 10 mL
- Final Volume: 11 mL
- Volume of Solid: \( 11 \, \text{mL} - 10 \, \text{mL} = 1 \, \text{mL} \)
- Answer:
1.0 mL
2.
Second Row:
- Initial Volume: 15 mL
- Final Volume: 22 mL
- Volume of Solid: \( 22 \, \text{mL} - 15 \, \text{mL} = 7 \, \text{mL} \)
- Answer:
7.0 mL
3.
Third Row:
- Initial Volume: 11.5 mL
- Final Volume: 12.3 mL
- Volume of Solid: \( 12.3 \, \text{mL} - 11.5 \, \text{mL} = 0.8 \, \text{mL} \)
- Answer:
0.8 mL
4.
Fourth Row:
- Initial Volume: 10.3 mL
- Final Volume: 11.7 mL
- Volume of Solid: \( 11.7 \, \text{mL} - 10.3 \, \text{mL} = 1.4 \, \text{mL} \)
- Answer:
1.4 mL
5.
Fifth Row:
- Initial Volume: 12 mL
- Final Volume: 40 mL
- Volume of Solid: \( 40 \, \text{mL} - 12 \, \text{mL} = 28 \, \text{mL} \)
- Answer:
28.0 mL
Final Answers:
-
Left Column:
1.
35.0 mL
2.
18.0 mL
3.
12.0 mL
-
Right Column:
1.
1.0 mL
2.
7.0 mL
3.
0.8 mL
4.
1.4 mL
5.
28.0 mL
Boxed Final Answer:
\[
\boxed{
\begin{array}{cc}
\text{Left Column:} & \text{Right Column:} \\
35.0 \, \text{mL} & 1.0 \, \text{mL} \\
18.0 \, \text{mL} & 7.0 \, \text{mL} \\
12.0 \, \text{mL} & 0.8 \, \text{mL} \\
& 1.4 \, \text{mL} \\
& 28.0 \, \text{mL} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of reading a graduated cylinder worksheet.
