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By:) LUIS SALAZAR(:. Grade 8 math chart. VOLUME. The amount of an object that takes up space. Prism V= Bh Cylinder V= Bh Pyramid V= 1 3 Bh Cone V= 1 3 Bh Sphere V= 4 3 3.14r 2.
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By:) LUIS SALAZAR(: Grade 8 math chart
VOLUME • The amount of an object that takes up space. • Prism V=Bh • Cylinder V=Bh • Pyramid V=13Bh • Cone V=13Bh • Sphere V=43 3.14r2
Question? • What is the volume of a rectangle prism if the height = 5cm and the with = 10cm? Answer=250cm
circumference The area within a bounding line: the vast circumference of his mind. Circle C=2*pi*r
Question?What is the circumference of the circle if the diameter 5cm? Answer=15.7
Perimeter The perimeter is the border or outer boundary of a two-dimensional figure. Square R=4s Rectangle P=2l+2w or P=(l+w) Square P=4s
Big question? • What is the perimeter of a square if all of the sides equal 7cm? Answer=28cm
Pi • A transcendental number, fundamental to mathematics, that is the ratio of the circumference of a circle to its diameter. Approximate value: 3.141 5927…; symbol: ∏ • ∏ ∏=3.14
Word problem? • What is the area of the circle if the radius = 7 Answer=
Pythagorean theorem • The theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. • Pythagorean theorem a2 +b2 =c2
Simple interest formula • Simple interest formula I=prt
Area • any particular extent of space or surface; part: the dark areas in the painting; the dusty area of the room. • Square A=s • Rectangle A=lxw or A=bh • Triangle A=12 • Trapezoid A=12 • Circle A=3.14xrx2
Question? • What is the area of the square? 10cm 6cm Answer=16
Big P • P represents the perimeter of the base of all three-dimensional figure.
Big B • B represents the area of the base of a three-dimensional figure.
Question? • What is the volume of the cylinder if the area = 112? Answer=175.84
Area of the base • Base area is length times width • B represents the area of the base of a three-dimensional figure.
Surface area • Surface area is the measure of how much exposed area a solid object has, expressed in square units. Mathematical description of the surface area is considerably more involved than the definition of arc length of a curve. • Cube (total) S=6s2 • Prism(lateral) S=Ph • Prism(total) S=Ph+2B • Pyramid(lateral) S=12Pl • Pyramid(total) S=12Pl=B • Cylinder(lateral) S=23.14rh • Cylinder(total) S=23.14rh=23.14r2
Function notation • A notation that describes a function
Ratios • A "ratio" is just a comparison between two different things. ... Given a pair of numbers, you should be able to write down the ratios.
P.E.M.D.A.S. • Parenthesis() • ExponentsMultiply (x)DivideAdd (+)Subtract(-) (÷)