Calculating Surface Area of a Hexagonal Prism

The video tutorial explains how to calculate the surface area of a hexagonal prism. It begins by identifying the base of the prism and then introduces the formula for surface area, which includes the lateral area and the area of the base. The tutorial provides detailed steps to calculate the lateral area by finding the perimeter of the base and multiplying it by the height of the prism. It also explains how to find the area of the hexagonal base by decomposing it into equilateral triangles. Finally, the video combines these calculations to find the total surface area and includes a practice problem for reinforcement.

How many bases does a prism have?

• 4

• 3

• 2

• 1

What is the formula for the surface area of a prism?

• Surface Area = Lateral Area - Base Area

• Surface Area = Base Area / Lateral Area

• Surface Area = 2 * Base Area + Lateral Area

• Surface Area = Base Area + Lateral Area

How do you calculate the perimeter of the base in a hexagonal prism?

• Add all sides

• Multiply the base area by 6

• Divide the height by 6

• Multiply one side by 6

What is the lateral area of the prism?

• 288 cm²

• 216 cm²

• 72 cm²

• 144 cm²

How is the height of the prism identified?

• Area of the base times 2

• Distance between the two bases

• Length of one side of the base

• Perimeter of the base divided by 6

What is the height of the prism?

• 7 cm

• 8 cm

• 9 cm

• 6 cm

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

• Area = 1/2 * base * height

• Area = base * height

• Area = 6 * (1/2 * base * height)

• Area = 2 * (1/2 * base * height)

What is the area of one base of the prism?

• 23.4 cm²

• 46.8 cm²

• 12.7 cm²

• 36.6 cm²

How many equilateral triangles can a hexagon be decomposed into?

• 7

• 6

• 5

• 4

What is the final surface area of the hexagonal prism rounded to the nearest square centimeter?

• 192 cm²

• 191 cm²

• 190 cm²

• 193 cm²