Chapter 10

Mackenzie K

Chapter 1: Area of Parallelograms and Trapezoids

Practice Problem

You enter in a drawing contest and you have to draw a circle with the given measurements. A=? r=5cm

A=πr^2

A= 3.14*25

A=78.5cm^2

Chapter 3 : Three-Dimensional Figures

Vocab

Polyhedron: is a solid that is enclosed by polygons. Only flat surfaces.


Solid: a 3-dimensional figure that encloses a part of space


Faces: The polygons that form a polyhedron


Edges: the segments where faces of a polyhedron meet.


Vertex: A point where 3 or more edges meet.

Chapter 4: Surface Areas of Prisms and Cylinders

Surface Area of a Prism

S=2B + Ph

The Surface Area of a prism is the sum of twice the area of a base B and the product of the base's perimeter P and the height h

Surface Area of a Cylinder

S=2B + Ch= 2πr^2 + 2πrh

The surface area of a cylinder is the sum of twice the area of a base B and the product of the base's circumference C and the height h

Surface Area of a Triangular Prism

S=2B + Ph

S=2(1/2*b*h) + Ph

The surface area of a prism is the sum of twice the area of a base B and the product if the base's perimeter P and the height h.

Chapter 5: Surface Areas of Pyramids and Cones

Vocab

Radius: the distance between the center and any point on the circle.

Circumference: the distance around the circle.

Diameter: the distance across the circle through the center.

Slant Height: the height of any face that is not the base of a regular pyramid

Surface Area of a Square Pyramid

Chapter 6: Volumes of prisms and Cylinders

Cylinder Volume and Surface Area

Chapter 7: Volumes of Pyramids and Cones

Formulas

Chapter 1

  • Area of a Parallelogram: A=bh
  • Area of a Trapezoid: A=1/2(b1 + b2)h
Chapter 2
  • Area of a Circle: A=πr^2
Chapter 4
  • Surface Area of a Prism: S=2B+Ph
  • Surface Area of Cylinder: 2πr^2 + 2πrh
Chapter 5
  • Surface Area of Pyramid: S= B+1/2PL
  • Surface Area of a Cone: S= πr^2 + πrL
Chapter 6
  • Volume of a Prism: V=Bh
  • Volume of a Cylinder: V=πr^2h
Chapter 7
  • Volumes of a Pyramids: V=1/3Bh
  • Volumes of a Cone: V=1/3πr^2h
B= πr^2

  • Area of a triangle: A= bh1/2