Observe the changes that occur in the volume of a quadrilateral pyramid when the area of the base, height, and incline change.
After completing this tutorial, you will be able to complete the following:
A quadrilateral pyramid is a three-dimensional geometric figure.
A quadrilateral pyramid has a quadrilateral (four-sided) base with four triangular sides meeting at a point (the apex). If the base is a square, it is called a square pyramid.
The volume of a pyramid can be found by using the formula
The volume of a quadrilateral pyramid is equal to one-third of the product of its height (h) and the area of its base (B). To find the volume of a quadrilateral pyramid, first we need to calculate the area of its base (B).
The volume of a pyramid is proportional to both its height and area of its base.
This Activity Object will focus on the changes in a quadrilateral pyramid's volume when other variables are altered. For instance, students will be able to change the area of the base, the height, and the incline of the quadrilateral pyramid, and then observe the results from these changes.
|Approximate Time||15 Minutes|
|Pre-requisite Concepts||Area of the base, height, incline, quadrilateral pyramid, volume of pyramid|
|Type of Tutorial||Dynamic Modeling|
|Key Vocabulary||area of the base, base, height|