Understanding the Surface Area of a Hexagonal Prism

The video tutorial explains how to calculate the surface area of a hexagonal prism. It begins by defining a hexagonal prism and then details the process of finding the area of its two hexagonal bases using the formula involving the apothem and perimeter. The tutorial continues by explaining how to calculate the lateral area by multiplying the perimeter of the base by the height of the prism. Finally, it combines these areas to find the total surface area and demonstrates how to convert the result into a decimal format.

What is a hexagonal prism?

• A prism with two rectangular bases

• A prism with two circular bases

• A prism with two triangular bases

• A prism with two hexagonal bases

Why do we multiply the base area by two when calculating the surface area of a hexagonal prism?

• To simplify the calculation

• To account for the height

• Because the base is twice as large

• Because there are two bases

What is the formula used to find the area of the base of a hexagonal prism?

• Radius * height

• Length * width

• Base * height

• 1/2 * apothem * perimeter

How do you find the apothem of a hexagon?

• Using the Pythagorean theorem

• By calculating the perimeter

• By measuring the side length

• Using 30-60-90 triangle rules

What is the perimeter of a hexagon with side length 6?

• 42

• 36

• 30

• 48

How is the lateral area of a hexagonal prism calculated?

• Apothem times the perimeter

• Base area times the height

• Perimeter of the base times the height

• Side length times the height

What is the total surface area of a hexagonal prism composed of?

• Twice the lateral area

• The sum of the lateral area and the area of the two bases

• The difference between the lateral area and the base area

• The product of the base area and the height

Why can't you combine a number with a radical with a whole number directly?

• Because they are different types of numbers

• Because it is mathematically incorrect

• Because it simplifies the calculation

• Because it is not allowed in geometry

What is the decimal equivalent of 108√3?

• 187

• 360

• 108

• 54706

What is the final step in finding the surface area of a hexagonal prism?

• Measuring the side length

• Finding the height

• Calculating the volume

• Converting the total area into a decimal