Name: ______Date: ______

Chapter 12 Test2011

1. / A solid three-dimensional figure has the
following faces:
  • two parallel bases that are
    congruent triangles
  • three lateral faces that are
    rectangles
Which of the following is a correct
name for this figure?
A. / rectangular prism
B. / rectangular pyramid
C. / triangular prism
D. / triangular pyramid
/ 3. / Basim used a trailer to haul dirt. The trailer is in the shape of a rectangular prism. The interior of the trailer has a length of 8 feet, a width of 4 feet, and a height of 2 feet.
What is the total number of cubic feet of dirt that the trailer can hold when it is filled so that the dirt is level with the top?
2. / Madelyn had a square piece of
cardboard that was 10 inches in length.
She cut one 3-inch square from each
corner, as shown below.

The shaded part represents theremaining cardboard. What is the areaof the remaining cardboard? / 4. / A shipping box is in the shape of a rectangular
prism, as shown below.

  • It has a length of 12 inches.
  • It has a width of 6 inches.
  • It has a volume of 288 cubic inches.

What is the height, in inches, of the shipping box?
Short Answer
A cafeteria has a recycling container for cans. The recycling container has a lid that is in the shape of a circle with an opening in the center that is also in the shape of a circle. The lid and some of its dimensions are shown in the diagram below.

The shaded part of the diagram represents the opening in the lid.
5.What is the circumference, in inches, of the lid of the recycling container? Show or explain how you got your answer. (Use 3.14 for π.)
6.What is the area, in square inches, of the lid, including the opening? Show or explain how you got your answer. (Use 3.14 for π.)
7.What is the area, in square inches, of the lid, not including the opening? Show or explain how you got your answer. (Use 3.14 for π.)
Erika has a cylindrical container with a diameter of 6 inches and a height of 1.5 feet, as shown below.

8. What is the height, in inches, of the container? Show or explain how you got your answer.
9. What is the volume, in cubic inches, of the container? Show or explain how you got your answer. (Use 3.14 for π.)
10. Erika filled the container with 250 cubic inches of sand. What is the approximate height, in inches, of the sand that Erika put in the container? Show or explain how you got your answer.

The diagram below shows the circular surface of a pond being designed for a park and a walkway around the pond. The diameter of the surface of the pond will be approximately 200 feet.

11. Based on the diameter, what will be the circumference, in feet, of the surface of the pond? Show or explain how you got your answer. (Use 3.14 for .)

12.What will be the area, in square feet, of the surface of the pond? Show or explain how you got your answer.

13.As the diagram shows, a walkway 10 feet wide is being designed to go around the pond. What will be the area, in square feet, of the walkway? Show or explain how you got your answer.

Name: ______Date: ______

Chapter 12 Test

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