Calculate 7653

The block volume is 900cm3, and the surface is 600cm2. The area of one wall is 60cm2. Calculate the length of edges a, b, c.

Correct answer:

a =  15 cm
b =  10 cm
c =  6 cm

Step-by-step explanation:

V=900 cm3 S=600 cm3 S1=60 cm2  S1=bc V=abc  a=V/S1=900/60=15 cm
S=2(ab+bc+ca)=2(ab+S1+ca) S/2S1=ab+ca b+c=(S/2S1)/a V/a=bc=b((S/2S1)/ab)  V/a=b((S/2S1)/ab) 900/15=b((600/260)/15b)  b216b+60=0  p=1;q=16;r=60 D=q24pr=1624160=16 D>0  b1,2=2pq±D=216±16 b1,2=216±4 b1,2=8±2 b1=10 b2=6   Factored form of the equation:  (b10)(b6)=0  b=b1=10=10 cm

Our quadratic equation calculator calculates it.

c=(S/2S1)/ab=(600/260)/1510=6 V1=a b c=15 10 6=900 cm3 V1=V  S2=2 (a b+b c+c a)=2 (15 10+10 6+6 15)=600 cm2  S2=S  c=6=6 cm

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