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!!!
- 'Area of a Parallelogram' - A = bh
- 'Area of a Trapezoid' - A = 0.5(b1 +b2)h'
h = the distance between the 2 bases
Section 2:
- 'Area of a Circle' - A = (Pi the symbol)r2 (Pi r squared)
Section 3: none
Chapter 4:
- '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:
- '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:
- '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:
- 'Volume of a Pyramid' - V = 1/3Bh
h = is the distance between the 2 bases
ch. 10 sec. 1 - areas of parallelograms and trapezoids
Section 1 Vocab.
- Base of a parallelogram - the length of any one 1 of its sides.
- Height of a parallelogram - the perpendicular distance between the base and the opposite side.
- Bases of a trapezoid - 2 parallel sides.
- Height of trapezoid - the perpendicular distance between the bases.
Formula to finding the 'area of a Trapezoid'
A=0.5(b1+b2)h
Area=0.5(base #1 + base #2)height
Formula to finding the 'area of a Parallelogram'
A=bh
Area=base*height
How to find the 'Area of a Parallelogram'
A=bh
Area=base*height
How to find the 'area of a Trapezoid'
Additional info.
ch. 10 sec. 2 - areas of circles
Section 2 Vocab.
- 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!!!).
- Circle - the set of all points in a plane that are the same distance, called the radius, form a fixed point, called the center.
- Radius - the distance between the center and any point on the circle.
- Diameter - the distance across the circle through the center.
- Circumference - the distance around a circle.
- 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
Formula to Find The 'area of a circle'
how to find the 'area of a circle'
how to find the 'radius of a circle'
ch. 10 sec. 3 - 3 dimensional figures
section 3 vocab.
- Solid - 3 dimensional figure that encloses a part of space. Example: a sugar cube.
- Polyhedron - a solid that's enclosed by polygons. A polyhedron has only flat surfaces.
- Face - a polygon that is a side of the polyhedron.
- Prism - a solid, formed by polygons, that has 2 congruent bases lying in parallel planes.
- Pyramid - a solid, formed by polygons, that has 1 base. The base can be any polygon, and the other faces are triangles.
- Cylinder - a solid with 2 congruent circular bases that lie in parallel planes.
- Cone - a solid with 1 circular base.
- Sphere - a solid formed by all points in space that are the same distance from a fixed point called the center.
- Edge - a line segment where 2 faces of the polyhedron meet.
- Vertex - a point at which 3 or more edges of a polyhedron meet.
sphere
classifying solids
counting faces, edges, and vertices
ch. 10 sec. 4 - Surface Areas of Prisms and Cylinders
sec. 4 vocab.
- net - a 2 dimensional pattern that forms a solid when it is folded
- surface area - the sum of the areas of the faces of the polyhedron.
Using a Net to Find Surface Area
Formula to Finding the 'Surface Area of a Prism'
How to find the 'surface area of a prism'
formula to finding the 'surface area of a cylinder'
how to find the 'surface area of a cylinder'
ch. 10 sec. 5 - surface areas of pyramids and cones
Sec. 5 Vocab.
- Slant Height - the height of any face that is not the base of a regular pyramid
Using the net of a pyramid to find the surface area of the pyrmid
formula to finding the 'surface area of a pyramid'
how to find the 'surface area of a pyramid'
formula to finding the 'surface area of a cone'
how to find the 'surface area of a cone'
Slant height
Ch. 10 sec. 6 - volumes of prisms and cylinders
sec. 6 vocab.
- Volume - the amount of space the solid occupies.
Formula to finding the 'volume of a prism'
finding the 'volume of a prism'
Formula to finding the 'volume of a cylinder'
how to find the 'volume of a cylinder'
ch. 10 sec. 7 - volumes of pyramids and cones
sec. 7 vocab.
- Pyramid - a solid, formed by polygons, that has 1 base. The base can be any polygon, and the other faces are triangles.
- Cone - a solid with 1 circular base.
- Volume - the amount of space the solid occupies.