CUBIC CENTIMETER

Cubic Centimeter

Definition Of Cubic Centimeter

Cubic Centimeter is a standard metric unit used to measure the volume.

More About Cubic Centimeter

Cubic centimeter is denoted as cm³ or cu cmM
1 liter = 1,000 cubic cm.

Video Examples: Cubic Meters to Cubic Centimeters

Example of Cubic Centimeter

example of Cubic Centimeter

There are 8 cubes in the above figure and the volume of each cube is 1 cubic cm. So, the volume of the figure is 8 cubic cm, as Volume of the shape = number of units × volume of each unit.

example of Cubic Centimeter

The volume of the cube V = length × width × height
= 1 cm × 1 cm × 1 cm
= 1 cubic cm

Solved Example on Cubic Centimeter

Ques: Determine the volume of the solid shown in the figure.

example of Cubic Centimeter

Choices:

A. 6 cubic cm
B. 7 cubic cm
C. 8 cubic cm
D. 4 cubic cm
Correct Answer: C

Solution:

Step 1: Volume of the shape = number of units × volume of each unit
Step 2: = 8 × 1 cubic cm = 8 cubic cm
Step 3: So, the volume of the solid shown in the figure is 8 cubic cm.

Quick Summary

Cubic centimeter (cm³) is a metric unit for measuring volume.
1 liter is equal to 1,000 cubic centimeters.
Volume can be found by multiplying length, width, and height in centimeters.

\[ V = l \times w \times h \text{ (where l, w, h are in cm)} \]

⚠️ Common Mistakes

Confusing cubic centimeters with square centimeters (area).
Forgetting to use consistent units (centimeters) when calculating volume.

🌍 Real-World Uses

Measuring the volume of liquid medications, such as a 5 cm³ dose of cough syrup.
Calculating the engine displacement of a motorcycle, often expressed in cubic centimeters (e.g., a 250 cm³ engine).
Determining the volume of a small jewelry box to estimate packaging and shipping costs.

📋 Standards Alignment

CCSS.MATH.MD.C.5
CCSS.MATH.MD.A.1

🍎 Teacher Insights

Use physical cubes to demonstrate the concept of cubic centimeters. Relate it to real-world examples like the volume of small containers.

🎓 Prerequisites

Basic Arithmetic
Concept of Volume

Check Your Knowledge

Q1: What is the volume of a cube with sides of 2 cm?

A. 4 cubic cm B. 6 cubic cm C. 8 cubic cm D. 12 cubic cm

Q2: A box has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?

A. 10 cubic cm B. 15 cubic cm C. 25 cubic cm D. 30 cubic cm

Frequently Asked Questions

Q: How many cubic centimeters are in a milliliter?
A: 1 cubic centimeter is equal to 1 milliliter.

Q: How do I convert liters to cubic centimeters?
A: Multiply the number of liters by 1000 to get cubic centimeters.