Density and Graphing

DENSITY
I. Formula: density= mass/ volume
    A. Density is usually expressed in kg/L, kg/m³, or g/cm³

Ex. Determine the density of a statue that has a mass of 135 kg and a volume of 65 L.
     d= mass/ volume
     d= 135 kg/ 65 L
     d= 2.1 kg/ L


GRAPHING
I. All graphs must have:
     A. Labelled axis
     B. An appropriate scale
          a. Every interval should be equal
     C. Title
     D. Data points
     E. Line of best fit
          a. A smooth line

II. 3 tools you have when looking at a graph:
     A. Read the information on the graph
     B. Calculate the slope of the graph
     C. Calculate the area of the graph

Ex.



1a) Find the slope between 12:00 pm - 3:00 pm.

Slope= rise/ run
Slope= 6/ 3

Slope= 2°C/ hr

1b) What does the slope represent?

The slope reprsents the increase of temperature per hour.

2) Find the total area from 12:00 pm to 6:00 pm.

How to:
1. Split the graph up into triangles and rectangles.
2. Find the area for each individual shape.
     A. Formula for finding the area for triangles: area= (base x height) / (2)
     B. Formula for finding the erea for rectangles: area= (length x width)
3. Add all the areas together to find the TOTAL AREA.

Section A = area inbetween 12:00 pm and 3:00 pm. (Triangle)
area= (base x height) / (2)
area= (3 x 6) / (2)
area= 9°C·hr

Section B = area inbetween 3:00 pm and 5:00 pm. (Rectangle)
area= (length x width)
area= (2 x 6)
area= 12 °C·hr

Section C = area inbetween 5:00 pm and 6:00 pm that is above
26°C. (Triangle)
area= (base x height) / (2)
area= (1 x 5) / (2)
area= 2.5 °C·hr

Section D= area inbetween 5:00 pm and 6:00 pm that is below 26°C. (Rectangle)
area= (length x width)
area= (1 x 1)
area= 1°C·hr

Total area= A+B+C+D
Total area= 9+12+2.5+1
Total area= 24.5 °C·hr

-Nicole!!!!!