QQuestionPhysics
QuestionPhysics
Calculate the volume and density for each sample and the average density of the six samples.
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Answer
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Step 1:
V\_6 = l\_6 w\_6 h\_6 = (4.90~\text{cm})(2.50~\text{cm})(2.70~\text{cm}) = 34.65~\text{cm}^3
First, let's calculate the volume for each sample. The formula for the volume of a rectangular prism is given by: Sample 1: Sample 2: Sample 3: Sample 4: Sample 5: Sample 6:
Step 2:
d\_6 = \frac{m\_6}{V\_6} = \frac{13.99~\text{g}}{34.65~\text{cm}^3} = 0.404~\text{g/cm}^3
Next, let's calculate the density for each sample using the formula: Sample 1: Sample 2: Sample 3: Sample 4: Sample 5: Sample 6:
Step 3:
d\_{avg} = \frac{d\_1 + d\_2 + d\_3 + d\_4 + d\_5 + d\_6}{6} = \frac{0.285~\text{g/cm}^3 + 0.378~\text{g/cm}^3 + 0.263~\text{g/cm}^3 + 0.367~\text{g/cm}^3 + 0.342~\text{g/cm}^3 + 0.404~\text{g/cm}^3}{6} = 0.340~\text{g/cm}^3
Finally, let's calculate the average density of the six samples:
Final Answer
The average density of the six samples is 0.340 g/cm^3.
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