8 th grade math chart
DESCRIPTION
By Angelica Gonzalez 2 nd Period. 8 th Grade Math Chart. Volume. The amount of space, measured in cubic units, that an object takes up. Prism: V= Bh Cylinder: V= Bh Pyramid: V=1/3Bh Cone: V=1/3Bh Sphere: V=4/3(3.14)r^3. Word Problem. - PowerPoint PPT PresentationTRANSCRIPT
8TH GRADE MATH CHART
By Angelica Gonzalez
2nd Period
Volume
The amount of space, measured in cubic units, that an object takes up.
Prism: V=Bh Cylinder: V=Bh Pyramid: V=1/3Bh Cone: V=1/3Bh Sphere: V=4/3(3.14)r^3
Word Problem
A cylinder has a diameter of 14 inches and a height of 21 inches. What is its volume?
21 in.
14 in.
V=BhA=3.14(r^2)
A=3.14(7^2)A=3.14(49)A=153.86
V=153.86(21)
V = 3,231.06 in.
Pi The ratio of the circumference to the diameter of
a circle; equal to about 3.141592+.
Word Problem
Area The area of a figure is the number of squares
required to cover it completely.
Square: A=s^2 Rectangle: A=lw or A=bh Triangle: A=1/2bh or A=bh/2 Circle: A=(3.14)r^2
Word Problem
A circle has a radius of 5 cm. Find the area.
5 cm.
A=3.14(5)^2A=3.14(25)
A = 78.5 cm.
A = 3.14 (r^2)
Perimeter A path that surrounds an area.
Square: P=4s Rectangle: P=2l+2w or P=2(l+w)
Word Problem
What is the perimeter of this figure?
9 in.
4 in.
P = 2(l + w)
P = 2 (9 +4)P = 2 (13)
P = 26 in.
Circumference The size of something as given by the distance
around it.
Circle: C=2(3.14)r
Word Problem
If a circle has a diameter of 8 inches, what is the circumference?
3.14 * 8 = 25.12 in.
8 in.
Surface Area A measure of the number of square units needed to cover the
faces or surfaces of a figure.
Cube(total): S=6s^2 Prism(lateral): S=Ph Prism(total): S=Ph+2B Pyramid(lateral): S=1/2Pl Pyramid(total): S=1/2Pl+B Cylinder(lateral): S=2(3.14)rh Cylinder(total): S=2(3.14)rh+2(3.14)r^2 or S=2(3.14)r(h+r)
Word Problem
Find the lateral surface area a cylinder with a height of 12 cm. and a diameter of 8 cm.
12 cm.
8 cm.
S = 2(3.14)rh
S = 6.28 (4) hS = 25.12 (12)
S = 301.44 cm.
Pythagorean Theorem
a^2+b^2=c^2
Word Problem
Simple Interest Formula
I = prt
Word Problem
P
P represents the perimeter of the base of a three-dimensional figure.
Word Problem
B
B represents the area f the base of a three-dimensional figure.
Word Problem