Chapter 10

Kyler Williams

Chapter 10.1- Area of a Trapezoid and Parallelogram

Key Vocabulary From Chapter 10.1

  • Base of a parallelogram- The length of any one of it's sides.


  • Height of a parallelogram- The perpendicular distance between the base and opposite side


  • Base of a trapezoid- The two parallel sides


  • Height of a trapezoid- The perpendicular distance between the bases

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Practice Problems

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Trapezoid

Area of a Trapezoid

Parallelogram

Area of a Parallelogram

Chapter 10.2- Area of a Circle

Key Vocabulary From Chapter 10.2

  • Area- The space included within, the surface
  • Radius- The distance from the edge of the circle to the center
  • Diameter- The distance from one side of the circle to the other passing through the center
  • Circumference- The distance around any given circle
  • Pi- Irrational number used to calculate the circumference and area of a circle, represented by π , starts with "3.14..."
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Practice Problems

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Circle

Area of a circle

Chapter 10.3- Three-Dimensional Figures

Key Vocabulary From Chapter 10.3

Solid- A three-dimensional figure that encloses a part of space

Polyhedron- A solid made from polygons

Face- The polygons that form a polyhedron are faces

Edge- The place where two faces meet

Vertex- Corners, points

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Practice Problems

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Chapter 10.4- Surface Areas or Prisms and Cylinders

Key Vocabulary From Chapter 10.4

  • Net- A two-dimensional pattern that forms a solid when folded
  • Surface Area- Area of the surface of a 3D figure
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Practice Problems

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Cylinder Volume and Surface Area

Chapter 10.5- Surface Area of Pyramids and Cones

Key Vocabulary From Chapter 10.5

  • Slant Height- The height of the lateral face, (any face that's not the base)
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Practice Problems

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Chapter 10.6- Volumes of Prisms and Cylinders

Key Vocabulary From Chapter 10.6

  • Volume- A measure of the amount of space a solid takes up
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Practice Problems

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Chapter 10.7- Volumes of Pyramids and Cones

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Practice Problems

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All Formulas

  • Area of a Parallelogram- A= bh
  • Area of a Trapezoid- A= ½(b1+b2)h
  • Area of a Circle- A= πr²
  • Surface Area of a Prism- S= 2B + Ph
  • Surface Area of a Pyramid- S= B + ½Pl
  • Surface Area of a Cone- S= πr² + πrl
  • Volume of a Prism- V= Bh
  • Volume of a Cylinder- V= Bh
  • Volume of a Pyramid- V= ⅓Bh
  • Volume of a Cone- V= ⅓Bh

All Formula Key

  • A= area
  • b= length of base
  • h= height of shape
  • b1= one of the bases
  • b2= the other base
  • r= radius
  • S= surface area
  • B= area of the base
  • P= perimeter of base
  • V= volume
  • l= length of base

Real Life Examples

  • You will need to use the formula of surface area of a cone to find how much cloth you will need to make a tee-pee.
  • You will need to use the formula of surface area of a box when you wrap a gift to find out how much wrapping paper you will need.
  • You will need to use the formula for the area of a trapezoid to find the area of your roof to find out how many shingles you will need.