Hexagonal Prism Surface Area and Properties

The video tutorial explains how to calculate the surface area of a regular hexagonal prism. It begins by introducing the formula for surface area, which involves the base area and the perimeter of the hexagon. The tutorial then demonstrates how to calculate the base area using a specific formula for hexagons, given the side length. After finding the base area, the video proceeds to calculate the perimeter of the hexagon and uses these values to determine the total surface area of the prism. The tutorial concludes with a practical example, showing the total surface area needed to cover the prism.

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

• Perimeter times height

• Base area plus perimeter

• Two times the base area plus the perimeter times the height

• Base area times height

What is the first step in calculating the surface area of a hexagonal prism?

• Calculate the volume

• Calculate the base area

• Calculate the perimeter

• Calculate the height

Which formula is used to calculate the base area of a hexagon?

• Side length squared times 3

• Side length times height

• Three times the side length squared times the square root of three divided by two

• Side length cubed

What is the significance of the square root of three in the base area formula?

• It simplifies the calculation

• It is used to calculate the perimeter

• It is a random constant

• It adjusts for the hexagonal shape

If the side length of a hexagon is 5 cm, what is the base area?

• 50 square centimeters

• 64.952 square centimeters

• 100 square centimeters

• 75 square centimeters

How do you calculate the perimeter of a hexagon?

• Add the base area to the side length

• Add all the side lengths together

• Multiply the side length by 6

• Multiply the side length by 3

What is the perimeter of a hexagon with a side length of 5 cm?

• 40 cm

• 35 cm

• 30 cm

• 25 cm

What is the height of the hexagonal prism in the example?

• 15 cm

• 19 cm

• 25 cm

• 20 cm

What is the total surface area of the hexagonal prism calculated in the example?

• 750 square centimeters

• 699.9 square centimeters

• 650 square centimeters

• 600 square centimeters

How much paper would be needed to cover the hexagonal prism?

• 600 square centimeters

• 700 square centimeters

• 900 square centimeters

• 800 square centimeters