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
Practice Problems
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..."
Practice Problems
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
Practice Problems
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
Practice Problems
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)
Practice Problems
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
Practice Problems
Chapter 10.7- Volumes of Pyramids and Cones
Practice Problems
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.