Ch. 10

by Nick Vicich

Important Formulas

WHEN DEALING W/ANYTHING 'SQUARED', REMEMBER TO USE THE 'SQUARED' SYMBOL!!!


Volume = 'CUBED'!!!


WHEN DEALING W/ANYTHING 'CUBED', REMEMBER TO USE THE 'CUBED' SYMBOL!!!


Section 1:
  1. 'Area of a Parallelogram' - A = bh
  2. 'Area of a Trapezoid' - A = 0.5(b1 +b2)h'
b = base

h = the distance between the 2 bases

Section 2:


  1. 'Area of a Circle' - A = (Pi the symbol)r2 (Pi r squared)


Section 3: none


Chapter 4:


  1. 'Surface Area of a Prism' - S = 2B + Ph


B = area of the base (base * height)

P = the base's perimeter

h = is the distance between the 2 bases


2. 'Surface Area of a Cylinder' - S = 2B +Ch or (in simpler terms)

2(Pi symbol)r2 (r squared) + 2(Pi symbol)r*h


Section 5:


  1. 'Surface Area of a Pyramid' - S = B + 0.5Pl


B = area of the base (0.5 * base * height)

P = the base's perimeter

l = slant height


2. 'Surface Area of a Cone' - S = (Pi symbol)r2 (r squared) + (Pi symbol)r*l

l = slant height


Section 6:


  1. 'Volume of a Prism' - V = Bh


B = area of the base (b*h)

h = the distance between the 2 bases


2. 'Volume of a Cylinder' - V = Bh

= (Pi symbol)*r2 (r squared)*h

B = the area of the base

h = is the distance between the 2 bases


Section 7:


  1. 'Volume of a Pyramid' - V = 1/3Bh
B = the area of the base

h = is the distance between the 2 bases

ch. 10 sec. 1 - areas of parallelograms and trapezoids

Section 1 Vocab.

  1. Base of a parallelogram - the length of any one 1 of its sides.
  2. Height of a parallelogram - the perpendicular distance between the base and the opposite side.
  3. Bases of a trapezoid - 2 parallel sides.
  4. Height of trapezoid - the perpendicular distance between the bases.

ch. 10 sec. 2 - areas of circles

Section 2 Vocab.

  1. Area - the number of square units covered by a figure. Example: 7 units by 2 units, the Area = 14 square units (REMEMBER TO USE TO 'SQUARED' SYMBOL!!!).
  2. Circle - the set of all points in a plane that are the same distance, called the radius, form a fixed point, called the center.
  3. Radius - the distance between the center and any point on the circle.
  4. Diameter - the distance across the circle through the center.
  5. Circumference - the distance around a circle.
  6. Pi - the ratio of the circumference of a circle to its diameter. Example: you can use 3.14 or 22/7 to approximate Pi (like the symbol).

A Good Ol' Quote From Mr. Chi'woo

"Circles are bases, not faces!!"

ch. 10 sec. 3 - 3 dimensional figures

section 3 vocab.

  1. Solid - 3 dimensional figure that encloses a part of space. Example: a sugar cube.
  2. Polyhedron - a solid that's enclosed by polygons. A polyhedron has only flat surfaces.
  3. Face - a polygon that is a side of the polyhedron.
  4. Prism - a solid, formed by polygons, that has 2 congruent bases lying in parallel planes.
  5. Pyramid - a solid, formed by polygons, that has 1 base. The base can be any polygon, and the other faces are triangles.
  6. Cylinder - a solid with 2 congruent circular bases that lie in parallel planes.
  7. Cone - a solid with 1 circular base.
  8. Sphere - a solid formed by all points in space that are the same distance from a fixed point called the center.
  9. Edge - a line segment where 2 faces of the polyhedron meet.
  10. Vertex - a point at which 3 or more edges of a polyhedron meet.

ch. 10 sec. 4 - Surface Areas of Prisms and Cylinders

sec. 4 vocab.

  1. net - a 2 dimensional pattern that forms a solid when it is folded
  2. surface area - the sum of the areas of the faces of the polyhedron.

ch. 10 sec. 5 - surface areas of pyramids and cones

Sec. 5 Vocab.

  1. Slant Height - the height of any face that is not the base of a regular pyramid

Ch. 10 sec. 6 - volumes of prisms and cylinders

sec. 6 vocab.

  1. Volume - the amount of space the solid occupies.

ch. 10 sec. 7 - volumes of pyramids and cones

sec. 7 vocab.

  1. Pyramid - a solid, formed by polygons, that has 1 base. The base can be any polygon, and the other faces are triangles.
  2. Cone - a solid with 1 circular base.
  3. Volume - the amount of space the solid occupies.