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Quantitative Reasoning > Solid Geometry > Flashcards

Flashcards in Solid Geometry Deck (22)
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1
Q

Lateral area of a cone

A

the area of the part that extends from the vertex to the circular base. it does not include the circular base.
(1/2)cl
c is circumference l is slant

2
Q

Volume of a cone

A
give the radius r and height h
volume is (1/3)pieR^2h
3
Q

surface area of a sphere

A

given radius r, 4pieR^2

4
Q

volume of a sphere

A

(4/3)pieR^3

5
Q

volume of a pyramid

A

(1/3)Bh

B is base area (s^2) and h is height

6
Q

rectangular solid

A

geometric term for box

7
Q

rectangular solid area

A

simply the sum of the area of the faces

surface area= 2lw+2wh+2lh

8
Q

distance of a rectangular solid

A

sqrt(l^2+w^2+h^2)

9
Q

uniform solid

A

what you get when you take a plane and move it without tilting it through space

10
Q

volume of a uniform solid

A

Bh

11
Q

surface area

A

sum of the area of faces

12
Q

volume of a rectangular solid

A

=lwh

13
Q

volume of a cube

A

l^3

14
Q

volume of a cylinder

A

pieR^2h

15
Q

midpoint of a segment

A

average the x-coordinates and average the y coordinates

16
Q

distance between two points formula

A

sqrt((x1-x2)^2+(y1-y2)^2

17
Q

what is y=mx+b

A

the slope intercept form

m represents the slope and the letter b represents the y-intercept.

18
Q

what does has no intersection mean?

A

means that both lines are parallel meaning both have the same slope

19
Q

slope

A

is a description of the steepness of a line

positive and negative slopes

20
Q

zero slope

A

lines that are parallel to the x axis

21
Q

undefined slope

A

lines that are parallel to the y axis

22
Q

negative reciprocal slopes

A

lines that are perpendicular to each other