Question

The dimensions of cuboidal box are in ratio 5:3:2 if total surface area is 2088 cm square then find dimensions

Answer 1

Using formula as surface
Area of cuboid is 2 (lb + bh + hl)
taking total as x
ratio 5x, 3x, 2x.
taking length = 5x
breadth = 3x
height =2x

2088 = 2 ( 15x + 6x + 10x)

$\frac{2088}{2} = (15 + 6 + 10)x$
1044 = 31 x

x = 33.6............


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