Hexagonal Pyramid Surface Area Concepts

The video tutorial explains how to find the surface area of a hexagonal pyramid. It begins with calculating the lateral area using the perimeter and slant height. The tutorial then moves on to finding the total surface area by adding the lateral area to the base area. The base area is calculated using the apothem and perimeter of the hexagon. The video concludes with the final calculation of the total surface area.

What is the first step in finding the surface area of a hexagonal pyramid?

• Find the lateral area

• Determine the height

• Measure the angles

• Calculate the volume

What is the formula for the lateral area of a pyramid?

• 1/2 times perimeter times slant height

• Perimeter times height

• 1/2 times base times height

• Base area plus lateral area

How do you calculate the perimeter of the hexagonal base?

• Add all side lengths together

• Multiply the number of sides by the length of one side

• Divide the total length by the number of sides

• Subtract the length of one side from the total length

What is the perimeter of the hexagonal base in the example?

• 42 units

• 48 units

• 36 units

• 30 units

What is the length of one side of the hexagonal base in the example?

• 4 units

• 5 units

• 7 units

• 6 units

What is the slant height of the hexagonal pyramid in the example?

• 12 units

• 10 units

• 8 units

• 6 units

What is the lateral area of the hexagonal pyramid in the example?

• 160 units squared

• 144 units squared

• 180 units squared

• 120 units squared

What is the next step after finding the lateral area?

• Calculate the volume

• Measure the angles

• Find the total area

• Determine the height

What is the formula for the area of a regular polygon base?

• Base area plus lateral area

• 1/2 times apothem times perimeter

• Perimeter times height

• 1/2 times base times height

How is the apothem of a hexagon related to its side length in a 30-60-90 triangle?

• It is the side length times the square root of 3

• It is half the side length

• It is the side length divided by the square root of 3

• It is equal to the side length