If length, breadth and height of a cuboid is tripled, 

1. How many times will its surface area increase?

2. How many times will its volume increase? 

Asked by Cl_narayan | 14th Feb, 2020, 12:41: PM

Expert Answer:

1.  Surface Area of an old Cuboid = 2(lb + bh + lh)

 
If length, breadth and height of a cuboid is tripled, then
 
Surface Area of a new Cuboid = 2(3l × 3b + 3b × 3h +3l × 3h)
                                            = 9 × 2(lb + bh + lh)
                                            = 9 (Surface Area of an old Cuboid)
 
2.   Volume of an old Cuboid = l × b × h
 
If length, breadth and height of a cuboid is tripled, then
 
Volume of a new Cuboid = 3l × 3b × 3h  = 27(l × b × h) = 27(Volume of an old Cuboid)                                   

Answered by Yasmeen Khan | 14th Feb, 2020, 03:25: PM