Geometry of Pyramids and Cones

The video tutorial covers the concepts of volume and surface area, focusing on square-based pyramids and cones. It explains the formulas for calculating these measurements and provides examples using a Desmos calculator. The tutorial also includes word problems to apply the learned concepts, emphasizing the importance of understanding the variables and formulas involved.

What is the primary focus of the video tutorial?

• Rectangular prisms and cylinders

• Square-based pyramids and cones

• Triangles and circles

• Spheres and cubes

What does the 'B' represent in the formula for the volume of a square-based pyramid?

• Base area

• Height

• Base perimeter

• Slant height

In the formula for the surface area of a cone, what does 'L' stand for?

• Lateral height

• Base length

• Volume

• Radius

What are nets in the context of geometry?

• Three-dimensional models

• Mathematical equations

• Graphical charts

• Two-dimensional representations of 3D figures

What is the surface area of a cone with a radius of 3.5 and a slant height of 9.1?

• 138.5 square centimeters

• 150.2 square centimeters

• 120.4 square centimeters

• 107.7 square centimeters

What is the volume of a cone with a radius of 3.5 and a height of 8.4?

• 138.5 cubic centimeters

• 107.7 cubic centimeters

• 150.2 cubic centimeters

• 120.4 cubic centimeters

What is the surface area of a square-based pyramid with a base side of 6 and a slant height of 12?

• 180 square centimeters

• 139.2 square centimeters

• 200 square centimeters

• 160 square centimeters

What is the volume of a square-based pyramid with a base side of 6 and a height of 11.6?

• 180 cubic centimeters

• 160 cubic centimeters

• 139.2 cubic centimeters

• 200 cubic centimeters

What is the surface area of a square-based pyramid with a base side of 10 and a slant height of 13?

• 380 square centimeters

• 320 square centimeters

• 400 square centimeters

• 360 square centimeters

What is the volume of a square-based pyramid with a base side of 10 and a height of 12?

• 380 cubic centimeters

• 360 cubic centimeters

• 400 cubic centimeters

• 320 cubic centimeters