Chapter 10


10.1 Parallelograms and trapazoids


The base is the length of any one of the sides. The perpendicular distance between the base and oppisite side is the height


The bases of a trapezoid are its two parallel sides the perpendicular distance between the bases is the height

10.2 Circles

Radius- distancde from the center of the circle to an outer edge

Diameter- distance from one side of the circle to the other crossing through the middle

Circufrence- perimeter of a circle

VOLUME (real life example)

You may need to find the volume of a ball to see how many will fit in a chest, you would also need to know the volume of the chest

SURFACE AREA (real life example)

If you wanted to paint something like a locker you could find the surface area, buy the amount of paint that will be used so none is wasted

10.3 three dimensional figures

Solid- A 3-D figure that encloses a part of space

Polyhedron- A solid enclosed by polygons

Face- The polygons that form the polyhedron

Prism- Two congruent bases that lie in parallel planes the other faces are rectangles

Pyramid- One base and the other faces are triangles

Cylinder- Solid with two congruent circular bases that lie in parallel planes

Cone- Solid with one circular base

Sphere- Solid formed by points in space that are the same distance from the center

Edge- Where two faces meet

Vertex- Where three or more faces meet

( names of polyhedrons are determined by the shape of the base )

Since a circle is not a polygon because it hase no straight sides a cylinder is not a polyhedron

10.4 surface area of prisms and cylinders

Net- Two dimensional pattern that forms when a solid when it is folded

Surface area- The sum of the area of a polyhedrons faces

10.5 surface area of prisms and cones

Slant Height- The height of a lateral face (any face that is not a base)

Finding slat height => Use the pythagorean theorem

The heigt of a pyramid is the perpendicular distance between the vertex and base

10.6 volumes of prisms and cylinders

Volume- The measure of the amount of space it occupies

Volume is measured in cubic units, one cubic unit is the amount of space occupied by a cube that measures one unit on each side

the volume of a prism and a cylinder are very similar

Big image



circle- A=π·r^2

trapezoid- A=0.5·(b1+b2)h

square- A=bh

parallelogram- A=bh


Sphere- V=4/3π·r^3

Prism- V=Bh (l·w·h)

Cone- V=1/3 Bh

Pyramid- V=1/3 Bh

Cylinder- V=π·r^2·h


Prism- S=2B+Ph

Cone- S=π·r^2 + πrl

Pyramid- S=B+1/2·Pl

Sphere- S= 4πr^2


l= slat height

C= circumfrence

B= area of the base

S= surface area

P= perimeter of the bse

h= height

b= base

s= side length of base