Chapter 10
Abbi L.
Section 1
base of a parallelogram- the length of any one of its sides
Height of a parallelogram- the perpendicular distance between the base and the opposite side
Bases of a trapezoid- its 2 parallel sides
Height of a trapezoid- the perpendicular distance between the bases
Area of a parallelogram
ALGEBRA- A=bh
Area of a Trapezoid
ALGEBRA- A=1/2(b1+b2)h
Section 2
area-The amount of surface the figure covers
radius- distance from the center to the edge
circumference- distance around the circle
Area of a circle
ALGEBRA- A=pir2
Section 3
Polyhedron: a solid the is enclosed by polygons
Prism:a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms
Pyramid: one base, the other faces are triangles
Cone: a solid with one circular base
Section 4
Surface Area: Sum of the areas of its faces
Surface area of a Prism
ALGEBRA- S= 2B+Ph
(B= area of the base)(P= Perimeter of the base)
Surface Area of a Cylinder
ALGEBRA-S=2B+Ch=2pir2+2pirh
(C=circumference of the base)
Section 5
Vocabulary
Slant Height: The height of the lateral face(any face that is not the base)Surface Area of a Pyramid
ALGEBRA- S= B+ .5Pl
Surface Area of a Cone
ALGEBRA- S=pir2+pirl
Application
Finding the surface area
In the end
Section 6
Volume: The amount of space a solid object occupies
Volume of a Prism
ALGEBRA- V=Bh
Volume of a cylinder
ALGEBRA- V=Bh
ALGEBRA- V=pir2h
Section 7
cone-^
volume-^
Volume of a Pyramid
ALGEBRA- V=1/3Bh
Volume of a cone
ALGEBRA- V= 1/3Bh
ALGEBRA- V=1/3pir2h
Volume of a Sphere
ALGEBRA- V=4/3pir3
(the surface area and the volume can be the same)