Answer
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Step 1:I'll solve this problem step by step, explaining the relationship between milliliters and cubic centimeters.
Step 2:: Understand the Basic Units
Milliliters (mL) and cubic centimeters (cm³) are both units of volume. The key to their equivalence lies in their definition and the metric system's base units.
Step 3:: Examine the Metric System Relationships
1 \text{ mL} = 1 \text{ cm}^{3}
In the metric system, 1 milliliter is defined as the volume of a cube that measures 1 centimeter on each side.
Step 4:: Visualize the Cube
- Imagine a cube with sides of 1 centimeter - Length = 1 cm - Width = 1 cm - Height = 1 cm
Step 5:: Calculate the Volume
\text{Volume} = 1 \text{ cm} \times 1 \text{ cm} \times 1 \text{ cm} = 1 \text{ cm}^{3}
Volume is calculated by multiplying length × width × height:
Step 6:: Confirm the Equivalence
This calculation shows that 1 cubic centimeter has exactly the same volume as 1 milliliter.
Final Answer
1 mL is exactly equal to 1 cm³ because they represent the same volume in the metric system, defined as the space occupied by a 1 cm × 1 cm × 1 cm cube.
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