the volume and the total surface area of a cube are V and S respectively..if the edge of the cube is made three times of volume and the total surface area become V' and S' respectively. find (1)V':V (2) S':S
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Answer:
V=lbh,S=2(lb+bh+lh)
d=√(l²+b²+h²)
V'=(2l)(2b)(2h)=8lbh
S'=2((2l)(2b)+(2b)(2h)+(2l)(2h))
=4×2(lb+bh+lh)
d'=√((2l)²+(2b)²+(2h)²)
=√(4(l²+b²+h²))
V'/V=8;S'/S=4;d'/d=2
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