Question

12.The dimension of a cuboid are in the ratio 4: 3: 2 and its surface area is

1872 cm square find its length breadth and heights​

Answer 1

Answer:

Step-by-step explanation:

Let length : breadth : height = 1 : 2 : 3

⇒ l =x , b = 2x , h = 3x

TSA of a cuboid = 2(lb+bh+lh)

=2(x×2x+2x×3x+x×3x)

=2(2x  

2

+6x  

2

+3x  

2

)

88m  

2

=22x  

2

m  

2

 

⇒x  

2

=  

22

88

​  

 

m  

2

 

m  

2

 

​  

 

∴x=±2

So the dimensions are 2×4×6