Calculating Surface Area of Prisms

The video tutorial explains how to calculate the surface area of a pentagonal prism. It begins by finding the area of the pentagonal bases using the formula: base times height divided by 2, multiplied by the number of sides. The result is then doubled since there are two bases. Next, the tutorial calculates the area of the lateral rectangles, which have a base of two and a height of four. The area of one rectangle is multiplied by the number of sides of the pentagon to get the total lateral area. Finally, the base and lateral areas are added together to find the total surface area of the prism, which is 70 square feet.

What shape is the prism discussed in the video?

• Pentagonal prism

• Hexagonal prism

• Rectangular prism

• Triangular prism

What is the first step in finding the surface area of the pentagonal prism?

• Find the volume of the prism

• Calculate the perimeter of the base

• Find the area of the bases

• Measure the height of the prism

How do you calculate the area of a pentagonal base?

• Base times height divided by 2

• Base times height

• Base times height times the number of sides

• Base times height divided by 2 times the number of sides

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

• Base times height

• Base times height divided by 2

• Base times height times the number of sides

• Base times height divided by 2 times the number of sides

How many sides does a pentagon have?

• Five

• Six

• Four

• Three

Why do you multiply the area of the base by two?

• To simplify the calculation

• To account for the height

• To double the area

• Because there are two bases

What is the base length of the rectangles on the sides of the prism?

• Four

• Three

• Five

• Two

What is the height of the rectangles on the sides of the prism?

• Three

• Four

• Two

• Five

How many rectangles are there around the prism?

• Six

• Five

• Four

• Three

What is the total area of the rectangles around the prism?

• 50 square feet

• 40 square feet

• 30 square feet

• 60 square feet