This video tutorial explains how to find the total surface area of a regular hexagonal prism. It begins with an introduction to the problem and the formula for calculating surface area. The tutorial then details the process of calculating the area of the hexagonal base, including an alternative method using a specific formula. Finally, it demonstrates the complete calculation of the total surface area, emphasizing the importance of exact simplified answers.

What is the shape of the bases in a regular hexagonal prism?

• Triangle

• Square

• Hexagon

• Pentagon

Which formula is used to calculate the total surface area of a regular hexagonal prism?

• 2B + 2PH

• 2B + PH

• B + 2PH

• B + PH

What is the shortcut for calculating the lateral area of a hexagonal prism?

• Base area times height

• Base area plus height

• Perimeter of the base plus height

• Perimeter of the base times height

How many triangles are used to calculate the area of the hexagonal base?

• 5

• 4

• 6

• 7

What is the angle measure of each angle in the equilateral triangle used for base calculation?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the length of each side of the equilateral triangle used in the base calculation?

• 8

• 6

• 10

• 4

What is the height of the equilateral triangle used in the base calculation?

• 4√3

• 8√3

• 8

• 4

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

• 1/2 ap

• ap

• 1/2 a + p

• a + p

What is the perimeter of the hexagonal base if each side is 8 units?

• 24

• 60

• 48

• 36

What is the base area of the hexagon if each triangle has an area of 16√3?

• 48√3

• 64√3

• 96√3

• 128√3