Question

the dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is88m/2.find the dimensions

Answer 1

Let the dimensions be:-

length=x metre

breadth=2x metres

height=3x metres

also, we are given that the Total surface area of the cuboid is 88metre square.

Therefore,

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

88=2{(x*2x)+(2x*3x)+(x*3x)}

88=2(2x square+6x square+3x square)

88=2*11x square

88=22x square

x square=88/22

x square=4

so, x=√4=2

Therefore the dimensions of the cuboid are:-

length=x=2 metres

breadth=2x=2*2=4 metres

height=3x=3*2=6 metres

Dimensions are 2m, 4m, 6m

Hope it helps you :)