The pool

The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the bottom is 3 m greater than the other. What are the dimensions of the pool bottom?

Correct result:

a =  10 m
b =  7 m

Solution:

V=140 m3 h=200 cm m=200/100  m=2 m  V=Sh S=V/h=140/2=70 m2  S=ab b=a3  S=a(a3)  70=a(a3) a2+3a+70=0 a23a70=0  p=1;q=3;r=70 D=q24pr=3241(70)=289 D>0  a1,2=q±D2p=3±2892 a1,2=3±172 a1,2=1.5±8.5 a1=10 a2=7   Factored form of the equation:  (a10)(a+7)=0  a=a1=10=10 m

Our quadratic equation calculator calculates it.

b=a3=103=7 m



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