Rectangle pool

Determine dimensions of open pool with a square bottom with a capacity 32 m3 to have painted/bricked walls with least amount of material.

Correct result:

a =  4 m
c =  2 m

Solution:

V=32 a=b V=a2 c c=32/a2 S=a2+4ac=a2+4a(32/a2) S=2a128/a2 S=0 2128/a3=0 164/a3=0 a3=64 a=643=4 b=a=4=4 m
c=32/a2=32/42=2 m



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