Question

The surface area of a cuboid is 1372sq cm. If it's dimensions are in ratio 4:2:1, find its volume.

Answer 1

Given the surface area of cuboid as 1372cm2, length are in the ratio of 4:2:1
Let the lenght, breadth and height of cuboid are 4x ,2x and x respectively.

surface area of cuboid = 2(lb+bh+lh)
where l= length of cube , b = breadth , h = height of cube
surface area of cuboid = 2(lb+bh+lh)
1372= 2(4x*2x+2x*x+4x*x)
1372= 2(8x2+2x2+4x2)
1372= 2*14x2
1372= 28X2
1372/28 = X2
X2 = 49          // TAKING SQUARE ROOT //
√X2 =√49
X = 7
​length of cuboid is 4x 7 =28cm