Categorieën: Alle - volume - area - surface - perimeter

door Jennifer Boxmeyer 8 jaren geleden

1501

Mighty Measurements!

The text discusses various methods and formulas for measuring and calculating the surface area, volume, and perimeter of different geometric shapes. It outlines specific equations for the surface area of cylinders, spheres, pyramids, cones, and prisms, providing the necessary variables and their respective roles in the calculations.

Mighty Measurements!

Measurement: Length, Area, and Volume

Volume

Volume is the measure of the amount of space that is inside of a three dimensional shape.

Volume of a Sphere

V = 4/3 Pi r3

Volume of a cone

V = 1/3Bh

Volume of a Pyramid

V = 1/3Bh

Volume of a Cylinder is base x height

V = Bh

Volume = length x width x height

V = lwh

The Measurement Process

The International System (Metirc Units)
Temperature - Celsius

F boiling point minus F freezing point divided by C boiling point minus C freezing point

212 - 32 / 100 - 0 = 1.8 or 9/5

Celsius to Fahrenheit

F = 1.8C + 32


Metric Units of Area
Metric Units of Length, Capacity and Mass
The U.S. Customary System
Temperature - Fahrenheit


F boiling point minus F freezing point divided by C boiling point minus C freezing point

212 - 32 / 100 - 0 = 1.8 or 9/5

Fahrenheit to Celsius

C = 5/9 (F-32)

Units of Volume
Units of Area
Units of Length, Capacity and Weight

Surface Area

Surface area measures total area of the surface of a three dimensional shape.

Spheres

Surface area of a sphere

S = 4Pi r squared

Cones

Surface area of cones

SA = Pi r squared + Pi rs

Pyramids

Surface area of pyramids
SA = B + 1/2ps

Cylinders


Surface area of cylinders

SA = 2B + ph

B = area of base
p = perimeter of the base
h= height

Prisms

Surface area of prisms

SA = 2B + ph

B = area of base
p = perimeter of the base
h= height

Area and Perimeter

Irregular shapes
Circles

The perimeter of a circle is called circumference.

The diameter is the distance across a circle throuht the center.

The radius of a circle is the distance form the center of a circle.

The ratio of a circle's circumference to its diameter is called Pi. Pi = 3.14159.

Circumference = 2 times Pi times radius

C = 2 x Pi x r

Area of a Circle = Pi times the Radius squared

A = Pi x r x r

Polygons
Perimeter

The perimeter is the distance around a shape.

You will add the lenghs of all sides together.

Area

The area is the size of a surface within a perimeter.

Triangles

To find the the area if a triangle you will multiply the base by the height and then divide by 2 (since a triangle is half of a parallelogram)

Area of a Triangle =

1/2 x Base x Height or Base x Height / 2

A = 1/2bh or A = bh / 2

Trapezoids

Area of a Trapezoid = 1/2 (Base a + Base b) x Height

A = 1/2 (a + b)h

Parallelograms

Area of a Parallelogram = Base times Height

A = bh

Rectangles

Area of a Rectangle = Length times Width

A = lw