Dhelia's garden

Dhelia wants to grow rose, orchid, and jasmine trees in her garden. Planting \(a\) rose trees requires \(a^2\) square meters, planting \(b\) orchid trees requires \(5b\) square meters, and planting \(c\) jasmine trees requires \(c^3\) square meters. If she plants \(10\) trees, what is the minimum amount of space (in square meters) that her garden will occupy?

This problem is posed by Dhelia D.

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