Hexagonal Prism and Triangle Properties

Mr. Kenya Noah explains how to find the surface area of a hexagonal prism. He begins by defining a hexagonal prism and reviewing the formula for surface area, which includes the base area and lateral area. The video details the process of calculating the area of a regular hexagon by dividing it into triangles and using the properties of 30-60-90 triangles. The final surface area is calculated by combining the base and lateral areas, with both radical and decimal forms provided.

What is a defining characteristic of a hexagonal prism?

• It has circular bases.

• It is a two-dimensional shape.

• It has two congruent hexagonal bases.

• It has triangular faces.

What does the 'B' represent in the surface area formula for prisms?

• Base perimeter

• Base area

• Height of the prism

• Lateral area

How many triangles can a regular hexagon be divided into?

• Six

• Seven

• Four

• Five

What is the central angle of each triangle in a regular hexagon?

• 60 degrees

• 30 degrees

• 90 degrees

• 45 degrees

In a 30-60-90 triangle, what is the relationship between the short side and the middle side?

• The middle side is twice the short side.

• The middle side is the same as the short side.

• The middle side is the short side times radical three.

• The middle side is half the short side.

What is the area of one triangle in the hexagon if the side length is 9?

• 18 radical 3

• 24 radical 3

• 20.25 radical 3

• 22.5 radical 3

What is the perimeter of the hexagon base if each side is 9?

• 72

• 54

• 45

• 60

What is the final surface area of the hexagonal prism in decimal form?

• 1100.123456

• 1023.456789

• 1045.678912

• 1068.888346