Question

a cuboidal box and a cubical box both have equal surface area the length and breadth of a cuboidal box are 60 cm and 40 cm whereas the edge of a cubical box is 50 cm find height of cubical box
give full solution

Answer 1

Let's,surface ar. of cuboid=surface ar. of cube
In cuboid,Length=60cm; Breadth=40cm & Height=x cm
In Cube,All side=50cm
Surface Ar. of cube=6×(side)²
=6×50²
=6×2500
=15000cm²
Sur. Ar. of cuboid=15000cm²
Sur. Ar. of cuboid=2(ιb+bh+ιh)
15000=2(60×40+40x×60x)
15000=4800+80x+120x
15000=4800+200x
10200=200x
x=51 cm
So,Height of cuboid is 51 cm.

Answer 2

Answer:

Let surface area of cuboid =surface area of cube

In cuboid length =60,breadth =40,height =x

In cube all side =50cm

Surface area of cube =6a²=6*(50)²=6*2500=15000

Surface area of cuboid =2(60*40+40*x+60*x)

=15000=4800+80x+120x

=15000=4800+200x

=10200=200x

X=51

Height =51cm