Hexagonal Prism Geometry Problems

This video tutorial explains how to calculate the volume, lateral area, and total surface area of a hexagonal prism. It begins with a basic introduction to the shape and its properties, followed by detailed steps to compute each measurement. The tutorial includes an example with different dimensions to reinforce the concepts. By the end, viewers will understand how to perform these calculations for any regular hexagonal prism.

What is the apothem of a regular hexagon with a side length of 20 inches?

• 20√3 inches

• 20 inches

• 10√3 inches

• 10 inches

How do you calculate the volume of a hexagonal prism?

• Height multiplied by side length

• Perimeter multiplied by height

• Base area multiplied by perimeter

• Base area multiplied by height

What is the formula for the lateral area of a hexagonal prism?

• Height multiplied by side length

• Base area multiplied by height

• Perimeter multiplied by height

• Base area plus perimeter

How do you find the total surface area of a hexagonal prism?

• Add the lateral area to twice the base area

• Add the base area to the perimeter

• Multiply the base area by the height

• Multiply the lateral area by the base area

If the side length of a hexagon is 30 inches, what is the perimeter?

• 180 inches

• 120 inches

• 150 inches

• 90 inches

What is the angle θ in a 30-60-90 triangle used to find the apothem?

• 60 degrees

• 15 degrees

• 30 degrees

• 45 degrees

In a hexagonal prism, if the height is 50 inches and the perimeter is 180 inches, what is the lateral area?

• 10800 square inches

• 9000 square inches

• 7200 square inches

• 6000 square inches

How do you calculate the apothem of a hexagon if only the side length is given?

• Multiply the side length by 2

• Use a 30-60-90 triangle

• Multiply the side length by √3

• Divide the side length by 2

What is the total surface area of a hexagonal prism with a base area of 1350√3 and a lateral area of 9000?

• 2700√3 + 9000 square inches

• 1350√3 + 9000 square inches

• 2700√3 + 18000 square inches

• 1350√3 + 18000 square inches

What is the volume of a hexagonal prism with a base area of 1350√3 and a height of 50 inches?

• 67500√3 cubic inches

• 135000√3 cubic inches

• 135000 cubic inches

• 67500 cubic inches