Viewing Solids and Surfaces Exam Review
Views/elevations planar view of 3-dimensional figures given from top, front, or sides
*2-dimensional picture (projection) of a 3-dimensional figure
EX 1 Sketch a square pyramid from the front, top, and side
EX 2 Ske
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Quiz 1-
, For use after Lessans 7.17.2
Find the unknown side length. Write yaur answar in simplest
radic
The Pythagorean Theorem Study Guide
Square Roots:
Given the area of a square (A), the side of a square (s) is the square root of the area.
s A
EX 1: What is the length of a side of a square whose area is 25 ft2.
The exact, simplified value of a radical pu
Tangent WS
TAN A =
OPPOSITE
ADJACENT
Find the length of the missing side by setting up a tangent ratio.
1.
2.
3.
61
x
21
12
32
72
x
50
TAN-1 FINDS AN ANGLE MEASURE
Find the measure of the indicated angle.
1.
2.
10
3.
x
13
9
x
x
14
EXACT VALUES:
3
30-60-90
Pyramids & Cones Notes
pyramid: surface of a conic solid whose base is a polygon.
cone: surface of a conic solid whose base is a circle.
PYRAMIDS:
Have one base (polygon) and a vertex (not two bases)
Lateral Edges: segment connecting the vertices to the
Tangent Notes
TAN A =
OPPOSITE
ADJACENT
Find the length of the missing side by setting up a tangent ratio.
1.
2.
3.
61
x
21
12
32
72
x
50
x
50
50 tan 32 = x
x
x
12
12 tan 61 = x
tan 32 =
x = 31.24
21
x
x tan 72 = 21
21
x=
tan 72
x = 6.82
tan 61 =
tan 72 =
Overview of Surface Area and Volume
What is SURFACE AREA? The measure of how much (2-dimensional) area covers a (3dimensional) space
How can we calculate surface area for a 3-Dimensional figure? Add up all of the areas
around the outside of a 3-dimensiona
Areas of Trapezoids Notes
Trapezoid Area Formula:
Geometry (CP)
1
A h(b1 b2 )
2
h is the height of the altitude - must form a right angle with a base.
b1 and b2 are the bases (remember, they are different)
So the area is the altitude times the mean of the