Question

The total surface area of cuboid is 63200cm² and its length, breadth, height are in the ratio 8:5:3.Find the dimensions of the cuboid

Answer 1

TSA of a cuboid = 2(lb+bh+hl)
2(lb+bh+hl) = 63200
Now,
Length=8x
Breath = 5x
Height = 3x
Therefore,
2((8x)(5x)+(5x)(3x)+(8x)(3x))=63200
2((40x^2)+(15x^2)+(24x^2))=63200
2(79x^2)=63200cm^2
158x^2=63200cm^2
X^2=63200cm^2/158
x^2=400cm^2
X=sq.rt400cm^2
x=20cm

I hope you understood