Exploring Volume of Prisms and Pyramids

Mr. Allred introduces the concept of volume, explaining its significance in real-world contexts. He then delves into the formulas for calculating the volume of prisms and pyramids, providing detailed examples for each. The lesson emphasizes understanding the differences between prisms and pyramids, including their geometric properties and volume calculation methods.

What real-world example can represent a volume?

• A line drawn on a board

• A square drawn on the ground

• A piece of paper

• Water in a swimming pool

What is volume in the context of geometry?

• The area of a shape

• The perimeter of a shape

• The length of a shape

• The amount of space inside a 3D shape

What does the 'Big B' in the volume formula for prisms represent?

• The height of the prism

• The volume of the base

• The perimeter of the base

• The area of the base

How many bases does a prism have?

• None

• Two

• Three

• One

How do you calculate the volume of a prism?

• Area of the base plus height

• Area of the base times height

• Area of the base divided by height

• Height divided by the area of the base

How is the height of a prism defined?

• The volume of the prism

• The area of the base

• The distance from base to base

• The distance around the base

What distinguishes a pyramid from a prism?

• A pyramid has one base and triangular sides

• A pyramid is always smaller than a prism

• A pyramid has no bases

• A pyramid has two congruent bases

What shape are the sides of a pyramid?

• Triangles

• Squares

• Circles

• Rectangles

What is the formula for the volume of a pyramid?

• Base area times height divided by two

• Base area times height divided by three

• Base area minus height divided by three

• Base area plus height divided by three

What is the volume of a pyramid with a base area of 24 units and height of 12 units?

• 96 cubic units

• 288 cubic units

• 36 cubic units

• 12 cubic units