CUBIC UNIT
Definition Of Cubic Unit
Volume of the solids is measured in Cubic Units.
More About Cubic Unit
A milliliter is equivalent to one cubic centimeter.
One liter is equivalent to one cubic decimeter.
One kiloliter is equivalent to one cubic meter.
Video Examples: Planes in a Cubic Unit Cell
Example of Cubic Unit
The given figure is a cube. The length of each side of the cube is 1 centimeter, so its volume is 1 cubic centimeter.
Solved Example on Cubic Unit
Ques: Identify a solid that has a volume of 32 cubic units.
Choices:
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Correct Answer: D
Solution:
Step 1: Volume of the rectangular solid = l × w × h
Step 2: For Figure 1, Volume V = 6 × 3 × 4 = 72 cubic units
Step 3: For Figure 2, Volume V = 5 × 3 × 4 = 60 cubic units
Step 4: For Figure 3, Volume V = 4 × 3 × 5 = 60 cubic units
Step 5: For Figure 4, Volume V = 2 × 4 × 4 = 32 cubic units
Step 6: Hence, Figure 4 represents a solid that has a volume of 32 cubic units
Quick Summary
- Cubic units measure volume.
- Common examples include cubic centimeters (cm³) and cubic meters (m³).
- 1 ml = 1 cm³, 1 L = 1 dm³, 1 kL = 1 m³
🍎 Teacher Insights
Use physical cubes (e.g., building blocks) to demonstrate the concept of cubic units. Relate cubic units to real-world containers and their capacities.🎓 Prerequisites
- Basic understanding of volume
- Knowledge of linear units (cm, m, etc.)
- Multiplication
Check Your Knowledge
Q1: What is the volume of a cube with sides of 2 cm?
Q2: A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
Frequently Asked Questions
Q: What is the difference between a cubic centimeter and a square centimeter?
A: A cubic centimeter (cm³) measures volume, while a square centimeter (cm²) measures area. Volume is 3-dimensional, area is 2-dimensional.
Q: Why do we use cubic units to measure volume?
A: Cubic units provide a standard way to quantify the amount of space an object occupies. Using a cube as the base unit ensures consistent and comparable measurements.