Dimensions 6130

The aquarium dimensions are in the ratio a: b: c = 5: 2: 4. 6609 cm2 of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?

Correct answer:

V =  35.075 l

Step-by-step explanation:

S=6609/100=1006609=66.09 dm2 a:b:c=5:2:4 a=5x b=2x c=4x  S=a b+2 c (a+b) 5x2x+24x(5x+2x)=66.09  5x 2x+2 4x (5x+2x)=66.09 66x266.09=0  a=66;b=0;c=66.09 D=b24ac=02466(66.09)=17447.76 D>0  x1,2=2ab±D=132±17447.76 x1,2=±1.0006815859021 x1=1.0006815859021 x2=1.0006815859021   Factored form of the equation:  66(x1.0006815859021)(x+1.0006815859021)=0  x=x1=1.00071.0007  a=5 x=5 1.00075.0034 dm b=2 x=2 1.00072.0014 dm c=4 x=4 1.00074.0027 dm  c1=5/10=21=0.5 dm  V=a b (cc1)=a b (c21)=5.0034 2.0014 (4.00270.5)=35.075 l

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