Chapter 10
David Steinberger
All Formulas
Area of a trapezoid: A=.5(b1+b2)h
Area of a circle: A=π*r*r
surface area of a prism: S=2B+Ph
Surface area of a cylinder: S=2*π*r*r+2*Pi*r*h
Surface area of a Pyramid: S= B+.5*P*L
Surface area of a cone: S= Pi*r*r+Pi*r*L
Volume of a prism: V=Bh
Volume of a cylinder: V=Pi*r*r*h
Volume of a pyramid: V=1/3*B*h
Volume of a Sphere: V=4/3*Pi*r*r*r
Surface area of a sphere: S=4*Pi*r*r
Section 1: Areas of parallelograms and Trapezoids
Area of a trapezoid: A=.5(b1+b2)h
Vocabulary
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
Trapezoid
Parallelogram
Real life Tie in
Section 2: Area of a circle
Vocabulary
area- the amount of surface area the shape covers
circle- the set of all the points in a plain that are the same distance
radius- the distance between the center and any point on the circle
circumference- the distance around the circle
Pi- the ratio of the circumference of a circle to its diameter
Section 3
solid-3D figure that encloses a part of space
polyhedron- a solid that is enclosed by polygons
face-polygons that form a polyhedron
prism- a polyhedron with two bases that lie in parallel lines
pyramid- a polyhedron with one base and the faces are triangles
cylinder-a solid with two congruent circular bases that lie in lines of parallel
cone-solid with one circular base
sphere-a solid formed by all points in space that are the same distance from a fixed point called the center
edge-where two faces meet on a polyhedron
vertex- a place where 3 or more edges meet.
Section 4: Surface area of prisims and cylinder
Surface area of a cylinder: S=2*Pi*r*r+2*Pi*r*h
Vocabulary
Net-a 2D pattern that forms a 3D object when folded.
Surface Area- the sum of the areas of its faces
cylinder
Prisim
Real life Tie in
Section 5: Surface area of Pyramids and Cones
Surface area of a Pyramid: S= B+.5*P*L P=Perimeter L=Lateral surface area
Surface area of a cone: S= Pi*r*r+Pi*r*L
Vocabulary
Slant height- The height of a lateral face.Section 6: Volume of Prisms and cylinders
Volume of a prism: V=Bh
Volume of a cylinder: V=Pi*r*r*h
Volume- A measurement of the amount of space it occupies
Section 7: Volumes of pyramids and cones
Volume of a Sphere: V=4/3*Pi*r*r*r