Throughout this test, round all answers to the nearest hundredth, if necessary. Use 3.14 for pi.
11 points
11
Question 1
1.
Match the term on the left with its definition on the right. Not all terms will be used.
Sphere
Platonic Solids
Octahedron
Cylinder
Tetrahedron
Cross Section
Convex Polyhedron
Concave Polyhedron
Cube
Edge
Vertex
Face
Lateral Area
Prism
Pyramid
A polyhedron with all vertices pointing out
A segment at which two faces of a polygon intersect
A polyhedron with two polygon bases and rectangular lateral faces
The five regular polyhedra
A polyhedron made up of one polygon base and triangular sides that meet at one vertex
The polygon that makes up a side of a polyhedron
The area of the sides of a polyhedron (Surface Area not including the base(s))
A polyhedron made up of six squares
A solid with two circular bases
The intersection of three or more edges
A polyhedron made up of eight equilateral triangles
For the figure below, name the polyhedron, then count the number of faces, edges, and vertices.
1 point
1
Question 2
2.
Name the polyhedron
1 point
1
Question 3
3.
Number of faces:
1 point
1
Question 4
4.
Number of edges:
1 point
1
Question 5
5.
Number of vertices:
For the figure below, name the polyhedron, then count the number of faces, edges, and vertices.
1 point
1
Question 6
6.
Name the polyhedron
1 point
1
Question 7
7.
Number of faces:
1 point
1
Question 8
8.
Number of edges:
1 point
1
Question 9
9.
Number of vertices:
1 point
1
Question 10
10.
Which of the following solides is NOT a polyhedron?
1 point
1
Question 11
11.
A polyhedron has 4 vertices and 6 edges. Using Euler's Theorem, determine how many faces it has.
1 point
1
Question 12
12.
A polyhedron has 10 faces and 24 edges. Using Euler's Theorem, determine how many vertices it has.
1 point
1
Question 13
13.
Name the solid that can be formed by the net shown below.
1 point
1
Question 14
14.
Name the solid that can be formed by the net shown below.
Use the rectangular prism below for the next 2 questions.
2 points
2
Question 15
15.
What is the surface area?
2 points
2
Question 16
16.
What is the volume?
Use the triangular prism below for the next 2 questions.
2 points
2
Question 17
17.
What is the surface area?
2 points
2
Question 18
18.
What is the volume?
Use the cylinder below for the next 2 questions.
2 points
2
Question 19
19.
What is the surface area?
2 points
2
Question 20
20.
What is the volume?
Use the square pyramid below for the next 2 questions.Use the square pyramid below for the next 2 questions.
2 points
2
Question 21
21.
What is the surface area?
2 points
2
Question 22
22.
What is the volume?
Use the cone below for the next 2 questions.
2 points
2
Question 23
23.
What is the surface area?
2 points
2
Question 24
24.
What is the volume?
Use the sphere below for the next 2 questions.
2 points
2
Question 25
25.
What is the surface area?
2 points
2
Question 26
26.
What is the volume?
2 points
2
Question 27
27.
The surface area of the rectangular prism below is 502 ft2. Solve for x.
2 points
2
Question 28
28.
The surface area of the cylinder below is 1407 cm2. Solve for x.
2 points
2
Question 29
29.
The volume of the rectangular prism below is 1440 m3. Solve for x.
2 points
2
Question 30
30.
The volume of the cylinder below is 108\pi cm3. Solve for x.
Use the following information for the next 2 questions:
The pyramids shown below are similar with a scale factor of 2:5. The surface area and volume of the smaller pyramid are provided.
1 point
1
Question 31
31.
What is the surface area of the larger pyramid?
1 point
1
Question 32
32.
What is the volume of the larger pyramid?
The following question is BONUS. There is no penalty for a wrong answer.
0 points
0
Question 33
33.
A machinist drilled a conical hole into a cube of metal as shown below. If the cube has sides of length 8 cm, what is the volume of the metal after the hole is drilled?