| Exam Board | CAIE |
| Module | P1 (Pure Mathematics 1) |
| Year | 2023 |
| Session | November |
| Topic | Connected Rates of Change |
3
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The diagram shows a cubical closed container made of a thin elastic material which is filled with water and frozen. During the freezing process the length, \(x \mathrm {~cm}\), of each edge of the container increases at the constant rate of 0.01 cm per minute. The volume of the container at time \(t\) minutes is \(V \mathrm {~cm} ^ { 3 }\).
Find the rate of increase of \(V\) when \(x = 20\).