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MathNet 2000 — Math Olympiad Vault Question 108

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 108

A right parallelepiped has edges of lengths $a,b,c$, with $a\lt b\lt c$. If one edge is lengthened by $q$, its volume increases. In which of the following cases is the increase greatest?
(A) When $a$ is increased
(B) When $b$ is increased
(C) When $c$ is increased
(D) The increase is the same in every case
(E) It depends on the particular values of $a,b,c$.