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