Magnified cube

If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm3. Determine the surface of both the original and the magnified cube.

Correct answer:

S1 =  54 cm2
S2 =  384 cm2

Step-by-step explanation:

(a+5)3 = a3+485 a3+15 a2+75 a+125=a3+485=33+485=485  15a2+75a+125=485  15 a2+75 a+125=485 15a2+75a360=0 15=35 75=352 360=23325 GCD(15,75,360)=35=15  a2+5a24=0  p=1;q=5;r=24 D=q24pr=5241(24)=121 D>0  a1,2=2pq±D=25±121 a1,2=25±11 a1,2=2.5±5.5 a1=3 a2=8 a=a1=3  S1=6 a2=6 32=54 cm2

Our quadratic equation calculator calculates it.

S2=6 (a+5)2=6 (3+5)2=384 cm2

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