How to find the volume of a pentagonal pyramid

The video tutorial explains how to calculate the volume of a pyramid with a pentagon base. It begins by discussing the formula for the area of a pentagon, which involves the apothem and perimeter. The tutorial then differentiates between height and slant height, emphasizing their roles in volume and surface area calculations. Finally, it demonstrates the complete process of calculating the pyramid's volume using the base area and height.

What is the formula for finding the area of a pentagon?

• perimeter * apothem

• 1/2 * perimeter * apothem

• 1/2 * base * height

• base * height

How do you calculate the perimeter of a regular pentagon with side length 5?

• 5 + 5

• 5 * 5

• 5 * 4

• 5 * 3

In volume calculations, which height is used?

• The height of the sides

• The slant height

• The distance from the bottom to the top in a straight line

• The height of the base

Why is the slant height not used in volume calculations?

• It is not perpendicular to the base

• It is not a straight line

• It is shorter than the actual height

• It is longer than the actual height

What is the volume of a pyramid with a base area of 68.75 cm² and a height of 11 cm?

• 252.08 cm³

• 68.75 cm³

• 75.25 cm³

• 11 cm³