Help?
An aquarium sells cubic fish tanks of different sizes. The length of the small size fish tank is 1 feet. The dimensions of the jumbo size fish tank are double the dimensions of the small size fish tank. Which expression can be used to find the ratio of the volume of the small size fish tank to the volume of the jumbo size fish tank? Answers:
A. (1/2)^2
B. (2/1)^2
C. (2/1)^3
D. (1/2)^3

Question

Help? 
An aquarium sells cubic fish tanks of different sizes. The length of the small size fish tank is 1 feet. The dimensions of the jumbo size fish tank are double the dimensions of the small size fish tank. Which expression can be used to find the ratio of the volume of the small size fish tank to the volume of the jumbo size fish tank? Answers:
 A. (1/2)^2
B. (2/1)^2
C. (2/1)^3
D. (1/2)^3

anonymous · Answer

i dunno

anonymous · Answer

I have no idea if one goes on top or if two goes on top. I assume its going to be ^2 but the 1/2 or 2/1 is whats getting me

directrix · Answer

@LillieMax

The two cubical fish tanks are geometrically similar.

Theorem: If two polyhedra are similar, then the cube of their scale factor is equal to the ratio of their volumes.

The scale factor is one to two or 1/2.

Therefore, the ration of the volumes of the two tanks is the cube of (1/2).