Chapter 10
Marynn Schifano
Formulas
Area of rectangle: bh
Area of square: s^2
Area of circle: PI*r^2
Area of Triangle: 1/2*bh
Area of Trapezoid: 1/2*h(b1+b2)
Volume of Cube: l*w*h
Volume of Cylinder: PI*r^2*h
Volume of Rectangular Prism: w*h*l
Volume of Cone: 1/3*PI*r^2*h
Volume of Pyramid: 1/3*bh
Volume of Sphere: 4/3*PI*r^3
Surface area of sphere: 4*PI*r^2
Surface area of Pyramid: 2*bs+b^2
Surface area of Cone: PI*r (square root r^2+h^2)
Surface area of rectangular prism: 2(wl+hl+hw)
Surface area of Cylinder: 2*PI*r*h+2*PI*r^2
Surface area of Cube: 6*a^2
10.1
Base of a Parallelogram: The length of any one of its sides.
Height of a Parallelogram: The perpendicular distance between the base and the opposite side.
Base of a Trapezoid: The two parallel sides.
Height of a Trapezoid: The perpendicular distance between the bases.
10.2
Area (of circles): The product of pi and the square of the radius.
Circle: Set of all points in a plane that are the same distance from a fixed point.
Radius: Distance from the center to any point on the circle.
Diameter: The distance across the circle through the center, or twice the radius.
Circumference: The distance around the circle.
Pi: The constant repetition of a number represented by a Greek symbol.
10.3
Solid, Polyhedron, Face: Solid in 3 detentions with flat faces.
Prism: A solid geometric figure with two of the same faces.
Pyramid: A structure with triangle or rectangle base which points meet at the top.
Cylinder: A geometric figure with parallel sides with circle cross sections.
Cone: A solid that goes from a circular base to a point at the top.
Sphere: A round solid object that has every point from the center equidistant from the center.
Edge, Vertex: The outside limit of an object, where two edges meet.
10.4
Net: The unfolded area and shape of a 3D object.
Surface Area: The area of the undermost layer.
10.5
Slant Height: The measurement of a cone or pyramid from the bottom to the top slanting up the shape.
10.6
Volume: The amount of space an object occupies.
10.7
Pyramid: A monumental structure with a square or triangular base with sloping sides that meet at the top in a point.
Cone: An object that starts with a circular base and slopes to a point at the top.
Volume: The amount of space an object occupies.
Real Life Example
Practice Problem
So you would start off with the formula, A=bh. Then plug in you numbers, 4*30. which would give you 120.
Answer: 120ft ^2
Real Life Example
PI= 3.14
r= radius
V= volume