RECTANGULAR PRISM
Definition Of Rectangular Prism
A prism with six rectangular faces is called a Rectangular prism
More about Rectangular Prism
Opposite faces of a rectangular prism are equal and parallel.
A rectangular prism has 6 faces and 12 edges.
Volume of a rectangular prism = length X width X height
Surface area of a prism = 2(lw + wh + lh), where l is the length, w is the width, and h is the height of rectangular prism.
Example of Rectangular Prism
The above solid has two rectangular bases and all its faces are rectangular.
Video Examples: Rectangular Prism
Solved Examples on Rectangular prism
Ques: Which figure is of a rectangular prism?
Choices:
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Correct Answer: B
Solution:
Step 1: A rectangular prism is a solid in which there are two parallel and congruent surfaces and rest all faces are rectangular.
Step 2: Here, Figure 2 represents a rectangular prism.
Quick Summary
- Opposite faces are equal and parallel.
- Has 6 faces and 12 edges.
- Volume = length X width X height
- Surface area = 2(lw + wh + lh)
⚠️ Common Mistakes
- Confusing surface area and volume.
- Incorrectly identifying length, width, and height.
🌍 Real-World Uses
- Shipping boxes used by companies like Amazon to transport goods.
- Bricks used in construction of buildings and walls.
- Aquariums for housing fish and other aquatic life.
📋 Standards Alignment
CCSS.MATH.CONTENT.6.G.A.2CCSS.MATH.CONTENT.7.G.B.6
🔗 Related Links
🍎 Teacher Insights
Use physical models to demonstrate the properties of rectangular prisms.🎓 Prerequisites
- Rectangle
- Area
- Volume
Check Your Knowledge
Q1: Which figure is a rectangular prism?
Q2: What is the formula for the volume of a rectangular prism?
Frequently Asked Questions
Q: What is the difference between a rectangular prism and a cube?
A: A cube is a special type of rectangular prism where all sides are equal.
Q: How do you calculate the volume of a rectangular prism?
A: Multiply the length, width, and height together.