A pool designed for lap swimming is rectangular in shape with a uniform depth of 4.5 feet. If the pool is enlarged so that it holds twice as much water, which of the following statements could be true?

A. The length and width of the pool were doubled, but the depth remained the same.
B. The length, width and depth of the pool were all doubled.
C. The length of the pool was doubled, but the width and depth remained the same.
D. The width and depth of the pool were doubled, but the length remained the same.

Question

A pool designed for lap swimming is rectangular in shape with a uniform depth of 4.5 feet. If the pool is enlarged so that it holds twice as much water, which of the following statements could be true?

A.	The length and width of the pool were doubled, but the depth remained the same.
B.	The length, width and depth of the pool were all doubled.
C.	The length of the pool was doubled, but the width and depth remained the same.
D.	The width and depth of the pool were doubled, but the length remained the same.

anonymous · Answer

the answer is c because this is a volume problem. 

v = lwh, so 2v = 2lwh

you only need to double one of the factors (i.e. length OR width OR height) in order to get 2v, so C is the answer because it only doubles one factor