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WorksheetsPAP Surface Area Review
Total questions: 15
Worksheet time: 23mins
Name
Class
Date
1.
Name the polyhedron, then find the number of faces, vertices, and edges of each polyhedron. Check your answer using Euler’s Theorem.
a)
Dodecahedron: 12, 20, 30
b)
Icosahedron: 20, 12, 30
c)
octahedron: 8, 6, 12
d)
cube: 6, 8, 12
2.
Use the isometric dot paper and the orthographic drawing to sketch a solid.
a)
skip
b)
don't skip
3.
Describe the cross-sectional area of the figure to the right.
a)
Square
b)
Triangle
c)
Pentagon
d)
Pyramid
4.
Given the right prism, find the surface area if the bases are a right triangle.
a)
24
b)
30
c)
36
d)
72
5.
Suppose the diagonal of a cube is 3√5 inches. Find the surface area of the cube.
a)
54
b)
90
c)
240
d)
1350
6.
If the base of a right circular cylinder has a circumference of 10π and OA = 13, find the lateral area.
a)
60π
b)
50π
c)
25π
d)
120π
7.
Find surface are of the figure at the right.
a)
60
b)
240
c)
180
d)
216
8.
A regular icosahedron…
a)
has 12 faces.
has regular rectangles as faces.
has regular rectangles as faces.
b)
has regular rectangles as faces.
c)
is a Platonic solid.
d)
has 12 faces.
is a Platonic solid.
is a Platonic solid.
9.
In a regular polyhedron,
a)
all vertices are the same. all faces are regular.
b)
the faces are made of more than one type of regular polygon.
c)
all faces are regular.
d)
all vertices are the same.
10.
Platonic solids are described as ______ polyhedrons.
a)
non regular
b)
regular
c)
complicated
d)
prisms
11.
A regular rectangular prism is called a _____.
a)
pyramid
b)
prism
c)
cube
d)
Plutonium
12.
There are ______ regular polyhedrons. (How many?)
a)
4
b)
5
c)
6
d)
13
13.
Lateral faces are _____ that are formed by connecting corresponding vertices of a prism’s bases.
a)
rectangle or parallelograms
b)
triangles
c)
octagons
d)
pentagon
14.
_______ _______ is the sum of the areas of all faces of a prism.
a)
group picture
b)
platonic solid
c)
volume
d)
surface area
15.
Find the Lateral Area of the solid bottom portion of the cone.
a)
520π
b)
260π
c)
585π
d)
65π
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