Question

The surface area of a cuboid is 2268 metres sq . If the dimensions are in the ratio 4:2:1.Find the length

Answer 1

Step-by-step explanation:

let length=4x

breadth=2x

height=x

surface area of cuboid

= 2*(length*breadth+breadth*height+length*height)

hence,

2(4x*2x+2x*x+4x*x)=2268 SQM

2(8x^2+2x^2+4x^2)=2268

2(14x^2)=2268

28x°2=2268

x^2= 2268/28

x^2=81

x=9 (taking positive value only)

hence,

length=4x=4*9=36 m

breadth=2x=2*9=18 m

height=x=9 m ans.