Question

the length,breath and hight of a rectangular box are in the ratio 5:4:2.if the total surface area of a box is 1216 cm².find the dimensions of the box

Answer 1

Let length(l)=5x

Breadth (b)=4x

Height (h)=2x

Total surface Area= 2( lb+bh+hl)

2( 5x*4x+4x*2x+2x*5x)= 1216

2(20x+8x+10x)=1216

2(38x)=1216

38x=1216/2=608

x=608/38=16

So, length= 5x=5*16=80

Breadth=4x=4*16=64

Height=2x=2*16=32