Question

The length, breadth and height of a rectangular parallelopiped are 5cm , 4cm,3cm respectively. If d= diagonal, A=total surface area,and P= sum of dimensions of the parallelopiped , then find the value of P^2 / d^2 + A ​

Answer 1

Answer:

The rectangular solid is a cuboid.

Let the length of the cuboid =5a, breadth =4a, and height =2a

Total surface area of a cuboid of length l, breadth b and height h =2(l×b+b×h+l×h)

Given, total surface area of the cuboid =1216cm

2

⇒2(5a×4a+4a×2a+2a×5a)=1216cm

2

⇒76a

2

=1216

⇒a=4

Hence, the length of the cuboid =5a=20 cm, breadth =4a=16 cm, height =2a=8 cm