Question

The length, breadth and height of a rectangular solid are in ratio 5: 4: 2.
If its total surface area is 1216cm2, find the volume of the solid.​

Answer 1

Step-by-step explanation:

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 =1216cm2

⇒2(5a×4a+4a×2a+2a×5a)=1216cm2

⇒76a2=1216

⇒a=4

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

Hope it help you ...!!