Manitoba
3. Demonstrate understanding of relationships among scale factors areas surface areas and volumes
3.2 Surface area and volume of pyramids
Chapter 3.2
Surface area and volume of pyramids
What You'll Learn
Calculate the surface area of pyramids by finding areas of triangular faces and the base
Apply the Pythagorean theorem to find slanted side heights of pyramid faces
Use the volume formula for pyramids: one-third times base area times height
Distinguish between pyramid height and slanted side height in calculations
Work with both square and rectangular pyramid bases in problems
What You'll Practice
1
Finding missing slanted sides using the Pythagorean theorem
2
Calculating surface area of square and rectangular pyramids
3
Computing pyramid volume using base area and height
4
Converting between units (millimeters to centimeters) before solving
Why This Matters
Understanding pyramid surface area and volume is essential for solving real-world problems in architecture, engineering, and design. These skills build your spatial reasoning and prepare you for advanced geometry, trigonometry, and calculus applications involving three-dimensional shapes.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Learning resources
Skills
Surface Area
Volume
Pyramids
Pythagorean Theorem
3D Geometry
Unit Conversion
Triangles
Rectangles
MB Curriculum Aligned
