(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cubical block of ice is melting in such a way that each edge decreases steadily by 9.8 cm every hour. At what rate is its volume decreasing when each edge is 10 meters long?

2. Relevant equations

V(t) = (l(t))^3 m^3

l'(t) = 0.098 m/h

3. The attempt at a solution

V'(t) = f'(g)*g(t) chain rule formula, f(g) = g^3, g(t) = l = 10

V'(t) = 3g^2 * 0.098

V'(t) = 3(10)^2 * 0.098

V'(t) = 300 * 0.098

V'(t) = 29.4 m^3/h

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Chain rule derivative applied to an ice cube

**Physics Forums | Science Articles, Homework Help, Discussion**