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Area, Surface Area, and Volume Formulas

Mathematics29 CardsCreated 5 months ago

This deck covers essential formulas for calculating area, surface area, and volume of various geometric shapes, as well as some basic mathematical concepts and transformations.

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Area of a rectangle/ parallelogram

A=bh
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Key Terms

Term
Definition
Area of a rectangle/ parallelogram
A=bh
Area of a triangle
A=bh/2
Area of a trapezoid
A=(b1+b2)h/2
Area of a circle
A=3.14r^2
Surface area of a rectangular prism
SA=2lw+2lh+2wh
Surface area of a triangular prism
SA=2B+Ph
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Area, Surface Area, and Volume Formulas
TermDefinition
Area of a rectangle/ parallelogram
A=bh
Area of a triangle
A=bh/2
Area of a trapezoid
A=(b1+b2)h/2
Area of a circle
A=3.14r^2
Surface area of a rectangular prism
SA=2lw+2lh+2wh
Surface area of a triangular prism
SA=2B+Ph
Surface area of a cylinder
SA=2(3.14)r^2+3.14dh
Surface area of a pyramid
SA=1/2Pl+B
Surface area of a cone
SA=3.14rl+B
Surface area of a sphere
SA=4(3.14)r^2
Volume of a prism
V=Bh
Volume of a cylinder
V=3.14r^2h
Volume of a cone/pyramid
V=1/3Bh
Volume of a sphere
V=4/3(3.14)r^3
Formula for simple interest
I=prt
Formula for compound interest
B=p(1+r)^t
Formula for slope
m=y1-y2/x1-x2
>: Up or down?
up
<: Up or down?
down
translation
add what u must move to (x,y). [EX- move (2.,-3) up one to the right 2= (4,-2)]
Rotation 90 degrees
(x,y)= (-y,x)
Rotation 180 degrees
(x,y)= (-x,-y)
Rotation 270 degrees
(x,y)= (y,-x)
Formula for Midpoint
M(x2+x1 /2, y2+y1 /2)
45-45-90 triangle (hypotenuse)
hypotenuse=leg x square root of 2
30-60-90 triangle (hyp and ll)
hyp=2 x shorter leg(sl) longer leg= sl x square root of 3
nCr
nPr/rPr
In nPr, n=
permutations of n objects
In nPr, r=
amount of times you want