Throughout this test, round all answers to the nearest hundredth, if necessary.
Do NOT include units!
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
Determine of the solid below is a polyhedron, then name it. If it is a polyhedron, count the number of faces, edges, and vertices. If it is not a polyhedron, state "None" for each of the faces, edges, and vertices.
1 point
1
Question 2
2.
Is the solid a polyhedron?
1 point
1
Question 3
3.
What is the mathematical name of the solid?
1 point
1
Question 4
4.
How many faces does it have?
1 point
1
Question 5
5.
How many edges does it have?
1 point
1
Question 6
6.
How many vertices does it have?
Determine of the solid below is a polyhedron, then name it. If it is a polyhedron, count the number of faces, edges, and vertices. If it is not a polyhedron, state "None" for each of the faces, edges, and vertices.
1 point
1
Question 7
7.
Is the solid a polyhedron?
1 point
1
Question 8
8.
What is the mathematical name of the solid?
Use the polyhedron below for the next 2 questions.
1 point
1
Question 9
9.
Is the polyhedron convex or concave?
1 point
1
Question 10
10.
Is the polyhedron regular or non-regular?
Use the polyhedron below for the next 2 questions.
1 point
1
Question 11
11.
Is the polyhedron convex or concave?
1 point
1
Question 12
12.
Is the polyhedron regular or non-regular?
1 point
1
Question 13
13.
A polyhedron has 4 vertices and 6 edges. Using Euler's Theorem, determine how many faces it has.
1 point
1
Question 14
14.
A polyhedron has 10 faces and 24 edges. Using Euler's Theorem, determine how many vertices it has.
1 point
1
Question 15
15.
Name the solid that can be formed by the net shown below.
Remember there are TWO names.
1 point
1
Question 16
16.
Name the solid that can be formed by the net shown below.
Remember there are TWO names.
3 points
3
Question 17
17.
What is the surface area?
1 point
1
Question 18
18.
What is the volume?
1 point
1
Question 19
19.
What is the surface area?
2 points
2
Question 20
20.
What is the volume?
3 points
3
Question 21
21.
What is the surface area?
1 point
1
Question 22
22.
What is the volume?
2 points
2
Question 23
23.
What is the surface area?
1 point
1
Question 24
24.
What is the volume?
3 points
3
Question 25
25.
What is the surface area?
2 points
2
Question 26
26.
What is the volume?
2 points
2
Question 27
27.
What is the surface area?
2 points
2
Question 28
28.
What is the volume?
2 points
2
Question 29
29.
The surface area of the rectangular prism below is 450 square feet. Solve for x.
2 points
2
Question 30
30.
The surface area of the cylinder below is 1407 square centimeters. Solve for x.
2 points
2
Question 31
31.
The volume of the rectangular prism below is 1440 cubic meters. Solve for x.
2 points
2
Question 32
32.
The volume of the cylinder below is 339.12 cubic meters. Solve for x.
The following question is Extra Credit. 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?