Question

2 times respectively,
(c) The volume, total surface area and length of a diagonal of a cuboid are V, Sand d respectively.
If all the edges are doubled, they become V', S and d' respectively. Find V':V,S:Sand d':d.​

Answer 1

Answer:

ANSWER

V=lbh,S=2(lb+bh+lh),d=

l

2

+b

2

+h

2

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(l

2

+b

2

+h

2

)

=2

l

2

+b

2

+h

2

V

V

′

=8;

S

S

′

=4;

d

d

′

=2

Step-by-step explanation:

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