Question

The sum of length, breadth and height of a cuboid is 7 cm and the diagonal is 5cm, then its total surface area is​

Answer 1

L + B + H = 19 cm, where L is the length, B is the breadth and

H is the height of the cuboid.

∴ Diagonal=

= (5√5)cm

On squaring both sides, we get

⇒

∴ Surface area = 2(LB + LH + BH)

Hence we know that the surface area of cuboid is 2(LB+BH+HL)

Hence the surface area is

In order to find volume we need L,B,H

and in this question I don’t think its possible to calculate it due to several possibilities...

mark ❤️

Answer 2

$\huge\mathcal{\fcolorbox{cyan}{black}{\pink{ᴀɴsᴡᴇʀ࿐}}}$

l+b+h=12cm ...(1)

d=8cm

⇒

l

2

+b

2

+h

2

=8

⇒l

2

+b

2

+h

2

=64 ...(2)

Now, (l+b+h)

2

=l

2

+b

2

+h

2

+2lb+2bh+2hl

⇒(12)

2

=64+2(lb+bh+hl)

⇒2(lb+bh+hl)=144−64=80

∴TSA of cuboid=80cm

2