Calculating Areas of Prisms and Polygons

The video tutorial explains how to calculate the total area of a pentagonal prism. It begins by defining the components of the prism, including the lateral area and the bases. The tutorial then provides a step-by-step guide to calculating the lateral area using the formula for the area of a rectangle. Next, it explains how to find the area of the pentagonal bases using a specific formula. Finally, the video demonstrates how to sum the lateral and base areas to find the total area of the prism, emphasizing the importance of including units in the final answer.

What is the total area of a pentagonal prism composed of?

• Only the top area

• The lateral area and the base areas

• Only the base areas

• Only the lateral area

What shape are the bases of a pentagonal prism?

• Rectangles

• Pentagons

• Triangles

• Hexagons

How many congruent rectangles make up the lateral area of a pentagonal prism?

• Three

• Five

• Six

• Four

What is the formula for the area of a rectangle?

• Base - Height

• Base / Height

• Base * Height

• Base + Height

If the base of a rectangle is 3 cm and the height is 5 cm, what is its area?

• 8 square cm

• 15 square cm

• 20 square cm

• 10 square cm

What is the total lateral area if each rectangle has an area of 15 square cm?

• 60 square cm

• 75 square cm

• 90 square cm

• 105 square cm

What formula is used to find the area of a pentagon?

• Length * Width

• Perimeter * Apothem / 2

• San / 2

• Base * Height

What does 's' represent in the pentagon area formula?

• The apothem

• The height

• The perimeter

• The length of a side

If the side length is 5 cm and the apothem is 3.4 cm, what is the area of one pentagonal base?

• 50.5 square cm

• 28.5 square cm

• 34.5 square cm

• 42.5 square cm

How many bases does a pentagonal prism have?

• Four

• Two

• One

• Three