Answered

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Sean wants to know what kind of metal a model soldier is made of. He decides to calculate its density. In order to calculate the density of the model soldier, Sean needs to find out its mass and volume.

Sean measures its mass to be 137.2 grams using a triple beam balance. Next, he fills a graduated cylinder with 50 mL of water. He drops the model soldier into the water. With the soldier in it, the graduated cylinder reads 62.1 mL.

What is the volume of the model soldier?
A.
12.1 cm3
B.
62.1 cm3
C.
2.2 cm3
D.
137 cm3

Sagot :

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Answer:

A. 12.1

Step-by-step explanation:

To find volume using water displacement, you must subtract the final water level from the original.

62.1 - 50 = 12.1

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Answer:

  A.  12.1 cm³

Step-by-step explanation:

Before the model soldier was added to the graduated cylinder, the volume in it was 50 mL. After the model soldier was immersed in the graduated cylinder, its volume was added to what was already there. That new total volume was 62.1 mL. The amount of volume the model soldier added was ...

  61.2 mL -50 mL = 12.1 mL = 12.1 cm³

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Additional comment

The volumes given in the problem statement are in milliliters (mL). The volumes given in the answer choices are cubic centimeters (cm³). These are two different names for the same volume.

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The density of the soldier is (mass)/(volume) = (137.2 g)/(12.1 cm³) ≈ 11.34 g/cm³. This is equivalent to the density of lead.

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