Volume Of Prisms And Pyramids: The formula of a pyramid

The video tutorial explains how to calculate the volume of a pyramid using the formula: volume = 1/3 * base area * height. It covers different types of pyramid bases, including rectangular and hexagonal, and provides step-by-step examples to illustrate the calculation process. The tutorial emphasizes the importance of understanding the base area and height in determining the pyramid's volume.

What is the general formula for calculating the volume of a pyramid?

• Area of the base times the height

• 1/2 times the area of the base times the height

• 1/3 times the area of the base times the height

• Area of the base plus the height

In the first example, what is the area of the base of the pyramid?

• 18 square centimeters

• 12 square centimeters

• 36 square centimeters

• 24 square centimeters

What is the volume of the pyramid in the first example?

• 60 cubic centimeters

• 120 cubic centimeters

• 90 cubic centimeters

• 150 cubic centimeters

In the second example, what is the height of the pyramid?

• 3 meters

• 5 meters

• 6 meters

• 10 meters

What is the volume of the pyramid in the second example?

• 30 cubic meters

• 25 cubic meters

• 15 cubic meters

• 35 cubic meters

In the final example, what is the given area of the hexagonal base?

• 45 square inches

• 60 square inches

• 51 square inches

• 55 square inches

What is the volume of the pyramid with the hexagonal base?

• 75 cubic inches

• 85 cubic inches

• 95 cubic inches

• 105 cubic inches