Chapter 10

Lily C.

Vocabulary

  • Area = A
  • Base = b
  • Height = h
  • Radius = r
  • Circumference = linear length around a circle = C
  • Length of 2 or more shapes lengths added = P
  • Surface Area = S Ex. Painting or wrapping around something
  • Area of the base = B
  • Slanted length = l
  • Volume = V
  • A pattern that when folded will create a solid / 3D figure = Net

Formulas

AREA
  • Parallelogram/Rectangle : b*h
  • Trapezoid : 1/2(b1+b2)h
  • Circle : Pi*r^2
  • Triangle : 1/2*b*h
SURFACE AREA



  • Cylinders : 2B+Ch or 2Pir^2+2Pirh
  • Prisms : 2B+Ph
  • Pyramid : B+1/2*P*l

  • Cone : Pi*r^2+Pi*r*l

  • Sphere : 4*Pi*r^2

VOLUME


  • Prism : B*h
  • Cylinder : B*h or Pi*r^2*h
  • Pyramid : 1/3*B*h
  • Cone : 1/3*Pi*r*h
  • Sphere : 4/3*Pi*r^3

Section 10.1 Areas of Parallelograms and Trapezoids

Parallelogram : A=b*h

Trapezoids : A=1/2(b1+b2)h

Area of a circle

Section 10.2 Areas of Circles

Circle : A=Pi*r^2

Section 10.4 Surface Areas of Prisms and Cylinders

Cylinders : S=2B+Ch or 2Pir^2+2Pirh

Prisms : S=2B+Ph

Section 10.5 Surface Areas of Pyramids and Cones

Pyramid : B+1/2*P*l

Cone : Pi*r^2+Pi*r*l

Section 10.6 Volumes of Prisms and Cylinders

Prism : B*h

Cylinder : B*h or Pi*r^2*h

Section 10.7 Volumes of Pyramids and Cones

Pyramid : 1/3*B*h

Cone : 1/3*Pi*r*h

Big image

Extended : Spheres

A Sphere is different than other 3D Figures because it is not formed by polyhedrons, but is formed every and any point from the center is the same length.

Surface Area = 4*Pi*r^2

Volume =4/3*Pi*r^3

Volume of a Sphere