The volume of a solid is given by the formula V = ab^2.
If a is doubled and b tripled, by what factor does the volume (V) increase?  Choose the most appropriate option
A) 3
B) 6
C) 9
D) 18
E) 12
We have,   V = ab^2   After doubling a and tripling b, we have:   V = (2a)*(3b)^2   V = 2a*9b^2   V = 18ab^2   Initially V = ab^2. Now, V = 18ab^2.   Therefore, V increases by a factor of 18.   Answer = 18 =18
<result>D</result>
The volume of a solid is given by the formula V = ab^2.
If a is doubled and b tripled, by what factor does the volume (V) increase?