Chapter 10
Matt G
Symbols
B=Area of Base
P=Perimeter of the Base
b=base
h=height
r=radius
S=Surface Area
l=slant height
10.1 Vocab
height of a parallelogram-is the perpendicular distance between the base and the opposite side
bases of a trapezoid-are its two parallel sides.
height of a trapezoid-the perpendicular distance between the two bases
10.1 Formulas
A=b*h
Area of Trapezoid
A=0.5*(base 1 +base 2) * height
10.2 Vocab
diameter- is the distance across the circle through the center,or twice the radius
pi- a math constant used that is rounded to 3.14
10.2 Formulas
A=pi*r*r
10.3 Vocab
Polyhedron- a solid that is enclosed by polygons. Only has flat surfaces
Faces- The polygons that form a polyhedron
Prism- a polyhedron, have 2 congruent bases that lie in parallel lines. the other faces are rectangles.
Pyramid- a polyhedron, that only has 1 base, other bases are triangles.
Cylinder- a solid with 2 congruent circular bases that lie in parallel planes
Cone- is a solid with only one circular base
Sphere- is a solid formed by all points in space that are the same distance from a fixed point called the center
Edge- The segments where faces of a polyhedron meet
Vertex- is a point where three or more edges meet.
10.3 How to count faces, edges, and verticies
Cylinders and cones aren't polyhedrons.
10.4 Vocab
Surface Area- is the sum of the areas of its faces
10.4 Formulas
S= 2B + Ph
Surface Area of a Cylinder
S=2B + Ch= 2*pi*r*r+2*pi*r*h
10.5 Vocab
10.5 Vocab
S= B + 0.5*P*l
Surface Area of a Cone
S=pi*r*r+pi*r*l
10.6 Vocab
10.6 Formulas
V=B*h
Volume of Cylinders
V=B*h=pi*r*r*h
10.7 Vocab
10.7 formulas
V=1/3*B*h
Volume of a Cone
V=1/3*B*h=1/3*pi*r*r*h