Volume Relationships in Geometry
Interactive Video
•
Emma Peterson
•
Mathematics, Science, Education
•
9th - 12th Grade
•
Hard
00:00
10 questions
Show answers
1.
Multiple Choice
What principle is used to prove the volume formulas for pyramids and cones?
Archimedes' Principle
Cavalieri Principle
Pascal's Law
Pythagorean Theorem
2.
Multiple Choice
What mathematical tool is mentioned as necessary for a complete proof of the volume formulas?
Trigonometry
Algebra
Calculus
Statistics
3.
Multiple Choice
In the informal proof, how is a pyramid visualized?
As a single solid block
As a stack of rectangular prisms
As a series of concentric circles
As a collection of spheres
4.
Multiple Choice
What happens to the ratio of the volumes as the number of layers increases?
The ratio increases
The ratio remains constant
The ratio decreases
The ratio fluctuates
5.
Multiple Choice
What is the expected ratio between the volumes of a pyramid and a prism as the number of layers approaches infinity?
0.75
0.3 repeating or one-third
0.25
0.5
Explore all questions with a free account
Find a similar activity
Create activity tailored to your needs using
.svg)
Volume and Dilation of Figures
•
6th - 10th Grade
Volume and Area of Geometric Shapes
•
7th - 10th Grade
Volume and Calculating 3D Shapes
•
11th Grade - University
Understanding the Volume of Pyramids and Prisms
•
5th - 8th Grade
Volume of prisms ordering them from least to greatest
•
11th Grade - University
Understanding Cavalieri's Principle and Volume Calculations
•
8th - 10th Grade
Proving the Volume Formulas for Pyramids and Cones Using the Cavalieri Principle
•
1st - 6th Grade
Proving the Volume Formulas for Pyramids and Cones Using the Cavalieri Principle
•
1st - 6th Grade