Homework Handout page -12

QUESTION- Philip knows that a pyramid has a height of 6 m and volume 900 m cubed. He  determines the area of base as.


V= 1/3 ( area of base) ( height)
900= 1/3 ( area of base) (6)
900/3= ( area of base ) (6)

300-6= area of base

- Area of base of pyramid is 294 m.
  prove that this is incorrect and state Philip's error.


ANSWER-

To find the volume of a pyramid given by the formula is:

Volume of pyramid =  Area of base × height

What Philip did wrong according to the formula

of how to find  volume of a pyramid is:

1.) He divided 900 by 3 instead of dividing it by 1/3
2.) He took 300 and subtracted 6 instead of dividing 300 by

This is how I think this question should be solved=

1.) 900
     ----     = Area of Base x 6
     1/3
     2700 = Area of Base x 6
     2700
     -----   = Area of  base
        6

   450 m squared = Area of Base

This is how I think Philip should have done this problem.
So basically you divide the volume by 1/3, then you take that answer and divide it by the height. That is how you will find the area of the base of a pyramid.


Link to help you out-
http://www.onlinemathlearning.com/volume-formula.html

http://www.youtube.com/watch?v=oYGvNlaxnbw

http://www.youtube.com/watch?v=E_2KbL2orfc

Textbook question 19 a.) pg: 61

Question-
A company made a profit of  $8.6 million in the first year. It lost $5.9 million in it's second year and lost another $ 6.3 million in it's third year.


A.) What was the average profit or loss per year over the first three years?


answer: 
You have to add all of the 3 years profit or loss, then divide it by 3 to get the average profit or loss over the first three years.
 year 1- profit of $8.6 million
 year 2- loss of $5.9 million
 year 3- loss of $6.3 million

so:       8.6+(-5.9)+(-6.3)/3= -1.2 
           This is a loss of 1.2 million on average

-Here is picture of profit loss, the guy asks which way would you prefer your profit, to increase or decrease?

This is my answer on how to do question 19.) a., so basically  you add all the profits or losses then you divide it by the amount of years to get the average profit or loss per year.



https://www.youtube.com/watch?v=nyrWYVZ4nus
- Here is a website, of  how to figure out profit and loss.