Surface Area and Perimeter of Prisms

The video tutorial covers the concepts of right prisms, focusing on calculating their lateral and surface areas. It explains the process of finding the lateral area of a pentagonal prism by calculating its perimeter and height. The tutorial also details how to determine the surface area by adding the lateral area to twice the base area. Additionally, it covers the calculation of the apothem and area of a pentagon, and provides a formula for the surface area of a cube. The video emphasizes the importance of practice to master these calculations and offers tips for exam preparation.

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

• Perimeter times height

• Height times base area

• Base area times height

• Perimeter plus base area

How do you calculate the surface area of a right prism?

• Lateral area plus two times the base area

• Perimeter times height

• Lateral area plus base area

• Base area times height

What is the perimeter of a pentagonal face with each side measuring 11 units?

• 66 units

• 77 units

• 55 units

• 44 units

If the height of a pentagonal prism is 13 units, what is the lateral area given the perimeter is 55 units?

• 715 linear units

• 715 cubic units

• 715 units

• 715 square units

What does the unwrapped lateral area of a pentagonal prism represent?

• The volume

• The area of the sides

• The total surface area

• The base area

How many sides does the unwrapped lateral area of a pentagonal prism have?

• Five

• Six

• Four

• Three

What is the formula for the area of a pentagon?

• Perimeter squared

• One-half the apothem times the perimeter

• Base times height

• Apothem times height

What is the central angle of a regular pentagon?

• 108 degrees

• 72 degrees

• 90 degrees

• 60 degrees

How do you calculate the apothem of a pentagon using tangent?

• Tangent of 90 degrees equals opposite over adjacent

• Tangent of 45 degrees equals opposite over adjacent

• Tangent of 72 degrees equals opposite over adjacent

• Tangent of 36 degrees equals opposite over adjacent

What is the total surface area of a pentagonal prism with a lateral area of 715 and base area of 206.25?

• 927.5 square units

• 1127.5 square units

• 1527.5 square units

• 1327.5 square units