(c) The volume, total surface area and length of a diagonal of a cuboid are V, S and d respectively.
If all the edges are doubled, they become V', S' and d' respectively. Find V':V,S': S and d': d.
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Step-by-step explanation:
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)=2l2+b2+h2
VV′=8;SS′=4;dd′=2
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Refer to the given attachment
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