Math Problem Statement

Empat orang siswa melakukan pengukuran massa dan volume. Dari hasil pengukuran tersebut, pilih pasangan siswa berdasarkan densitas mereka.

Solution

The image contains data regarding mass and volume measurements performed by students (labeled A, B, C, and D). Below is a transcription and analysis:


Transcribed Data:

Siswa | Massa (gram) | Volume (cm³)
A | 38.4 | 48
B | 38.4 | 64
C | 21.6 | 27
D | 181.9 | 27

Below the table, there is a handwritten statement mentioning that four students performed measurements. The multiple-choice options listed appear to address some comparison, likely asking for specific pairings based on their measured results:

  1. A dan D
  2. C dan D
  3. C dan A
  4. D dan B
  5. A dan B

Possible Analysis or Question:

Given the data, this could be a question related to density, which is calculated by the formula:

Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}

Now let’s calculate the density for each student:

  • A: 38.448=0.8g/cm3\frac{38.4}{48} = 0.8 \, \text{g/cm}^3
  • B: 38.464=0.6g/cm3\frac{38.4}{64} = 0.6 \, \text{g/cm}^3
  • C: 21.627=0.8g/cm3\frac{21.6}{27} = 0.8 \, \text{g/cm}^3
  • D: 181.9276.74g/cm3\frac{181.9}{27} \approx 6.74 \, \text{g/cm}^3

Observations:

  • A and C have the same density (0.8 g/cm³).
  • D has a significantly higher density compared to the others (6.74 g/cm³).
  • B has the lowest density (0.6 g/cm³).

Likely Question:

From the given options, option 3: C dan A seems to be correct if the question asks for students with the same density, as both A and C have 0.8 g/cm³.


Follow-up Questions:

  1. What is the meaning of density in a physical context?
  2. How does volume affect the density of an object if mass remains constant?
  3. Why is student D’s density much higher compared to the others?
  4. Could the materials being measured by the students be different? How would that affect their density?
  5. If the volume of student B's object was reduced to 48 cm³, what would its new density be?

Tip: When comparing densities, always ensure units of mass and volume are consistent to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Density Calculation
Mass and Volume Relationship

Formulas

Density = Mass / Volume

Theorems

Density Concept

Suitable Grade Level

Grades 7-9