Question

1) If the total surface area of a rectangular parallelopiped is 94 cm and the length of the diagonal is 5-12 cm
then find the length, breadth and height of the rectangular parallelopiped.
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Answer 1

Answer:

Let length, breadth, and height of a cuboid are 6x, 5x, and 4x respectively.

Its total surface area

=2(lb+bh+hl)

=2(6x×5x+5x×4x+4x×6x)

=2(30×2+20×2+24×2)

=2×74×2

=148×2

But it is given that total surface area=333000sq.m

i.e. 148×2=33300

⇒x

2

=

148

33300

⇒x

2

=225m

2

⇒x=

225

⇒x=15m

Dimensions of cuboid are

6x=6×15=90m

5x=5×15=75m

and 4x=4×15=60m

Volume of cuboid=90×75×60 cubic metres=405000 cubic metres.

Hope it helps you