Surface Area and Dimensions of Cylinders

Mr. Mason explains how to calculate the surface area of a composite figure consisting of a rectangular prism and half a cylinder. He first calculates the surface area of the rectangular prism, noting that only five of its six surfaces are exposed. Then, he calculates the surface area of the half cylinder, using the formula for a full cylinder and dividing by two. Finally, he combines the surface areas of both shapes and rounds the total to the nearest square inch.

What is the main objective of this tutorial?

• To calculate the weight of a composite figure

• To calculate the perimeter of a composite figure

• To calculate the surface area of a composite figure

• To calculate the volume of a composite figure

How many surfaces of the rectangular prism are exposed?

• Six

• Three

• Four

• Five

What are the dimensions of the square face of the rectangular prism?

• 5x5

• 6x6

• 7x7

• 8x8

How many surfaces of 6x8 dimensions are there in the rectangular prism?

• Four

• Three

• Two

• One

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

• pi * diameter^2 + 2 * pi * radius * height

• 2 * pi * radius + pi * diameter * height

• pi * radius^2 + 2 * pi * radius * height

• 2 * pi * radius^2 + pi * diameter * height

What is the radius of the half cylinder in this problem?

• 5

• 2

• 3

• 4

What is the height of the cylinder in this problem?

• 9

• 6

• 8

• 7

What is the final surface area of the half cylinder before substituting pi?

• 99 pi

• 66 pi

• 132 pi

• 33 pi

What value is used for pi in the final calculation?

• 3.12

• 3.13

• 3.15

• 3.14

What is the total surface area of the composite figure rounded to the nearest square inch?

• 320

• 310

• 315

• 325