Magnified cube

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

Correct result:

S1 =  54 cm2
S2 =  384 cm2

Solution:

(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  p=15;q=75;r=360 D=q24pr=752415(360)=27225 D>0  a1,2=q±D2p=75±2722530 a1,2=75±16530 a1,2=2.5±5.5 a1=3 a2=8   Factored form of the equation:  15(a3)(a+8)=0 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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