What is the increase in volume V of a rectangular box if its width is doubled, its length is tripled and its height quadrupled?
(a) 23V
(b) 8V
(c) 9V
(d) 16V
(e) 12V

Question

What is the increase in volume V of a rectangular box if its width is doubled, its length is tripled and its height quadrupled?
(a) 23V
(b) 8V
(c) 9V
(d) 16V
(e) 12V

anonymous · Answer

if you are ever confused by a problem like this
try it with numbers, and make them easy 
suppose you had a square with each side 1, then the volume would be $1^3=1$ as well

anonymous · Answer

now double one side to get 2, triple one side to get 3 and quadruple the height to get 4 
new volume is ?

anonymous · Answer

i got 24 but that's not an answer choice

anonymous · Answer

then there is a mistake because that is what it is

anonymous · Answer

unless by "increase" they mean $24V-V=23V$ but that is downright silly

anonymous · Answer

yeah

noelgreco · Answer

The question asks for the "increase", not how many times as large.  To get to 24 times as large from the original volume of V, you must add 23V.

fellowroot · Answer

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