Chapter 11 Test A

Match the following

• Area of Triangle

• Volume of Prism or Cylinder

• Surface Area of Cone or Pyramid

• Surface Area of Prism or Cylinder

• Area of Parallelogram

Match the following

• Circumference of a Circle

• Surface Area of Prism or Cylinder

• Area of Circle

• Surface Area of Sphere

• Area of a Regular Polygon

Match the following

• Surface Area of Sphere

• Area of Trapezoid

• Area of Triangle

• Volume of Sphere

• Volume of Pyramid or Cone

A rectangle is graphed on the coordinate grid with vertices at (0,0), (0, 2), (4, 2), and (4, 0). If you rotate the rectangular region about the y-axis you will get 3 dimensional solid. What is true about that solid?

• It is a cylinder with a volume of 16π.

• It is a cylinder with a height of 4 and a radius of 2.

• It is a cylinder with a surface area of 48π.

• It is a cylinder with a surface area of 24π.

• It is a cylinder with a volume of 32π.

A right triangle is graphed on the coordinate plane with points at (0, 0), (0, 3) and (4, 0). Suppose you revolve the plane region completely about the x-axis to sweep out a solid of revolution. Describe the solid.

• It is a cone with a Volume of 12π units³.

• It is a cone with a volume of 16π units³.

• It is a cone with a surface area of 24π units².

• It is a cone with a surface area of 36π units².

• It is a cone with a height of 4 and a radius of 3.

Which is greater, and by how many square inches? The surface area of 2 spheres each with a diameter of 6 inches or the surface area of 1 cone with a radius of 6 inches and a height of 8 inches?

• 2 spheres by 24π

• 1 cone by 24π

• 2 spheres by 12π

• Neither, they are the same.

A 12.4 oz. box of Cheddar Jack Cheez-It baked snack crackers has a length of 6 inches, a width of 2 1/2 inches and a height of 8 1/4 inches. Each box has about 6 square inches of cardboard that overlaps which cannot be seen. To the nearest square inch, how many square inches of cardboard are required for each box of Cheddar Jack Cheez-Its?

• 164 inches ²

• 170 inches ²

• 175 inches ²

• 176 inches ²

Lucky Charms are "magically delicious" and they happen to be Mia's favorite. I am designing a container that needs to hold at least 30 cubic inches of cereal so that Mia can have Lucky Charms with her at all times! If I design the box to measure 3 x 3 x 4 inches, will it be large enough to hold Mia's cereal?

• Yes, she will have room enough for 6 more cubic inch of cereal.

• No, she will be too small by 3 cubic inches.

• No, the surface area of the container is less than the surface area of the cereal.

• Yes, they have the exact same volume.

In a display at a museum, two planets have volumes of 16 cubic inches and 54 cubic inches. What is the ratio of their diameters?

Answer explanation

Diameters are a linear ratio, but you are given a volume ratio. Change the volume ratio to a linear ratio by cube rooting the volume ratio. If you don't know how to use the cube root function on your calculator be sure to ask!

Given two similar prisms with a scale factor of 5:4, which of the following are true?

• Ratio of their areas is 25:16

• Ratio of their perimeters is 5:4

• Ratio of their volumes is 25:64

• Ratio of their corresponding angles is 5:4