Rectangle pool

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

Correct answer:

a =  4 m
c =  2 m

Step-by-step explanation:

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=364=4 a=b=4=4 m
c=32/a2=32/42=2 m

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