# Ch. 10

## 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

## 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.

## 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!!"

## 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.

## 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.

## Sec. 5 Vocab.

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

## sec. 6 vocab.

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

## 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.