A/P/V QUESTION

Question

In the following expressions, all variables represent length:

abc

1/2dh

5d²

2/3sfj²

2xy+p²

3ed-4k²m

 

A) Make a list of those that might apply to an area and explain why. 
B) Make a list of those that might apply to a volume and explain why. 
C) Make a list of those that could apply to neither and explain why. 

Answer 1

A. To represent an area 2 lengths must be multiplied together.

    1/2dh (constant multiplied to the product of 2 lengths)

    5d² (constant multiplied to the product of 2 lengths)

    2xy + p² (2 terms added together where each term is the product of 2 lengths)

   

B. To represent volume 3 lengths must be multiplied.

    abc (3 lengths multiplied together)

 

C. 2/3sfj² (Neither area or volume since 4 lengths are multiplied together)

    3ed - 4k²m  (Neither area or volume because one term is the product of 2 lengths which represents an area and the other term is the product of 3 terms which represents a volume.  Adding them together does not represent either an area or volume)