Question

The dimensions of rectangular box are in the ratio of 2:3:5 if it's total surface area is 6200 sq cm then find dimensions of the cuboid

Answer 1

let the ratio be x.

then, lenght=2x

breadth=3x

height=5x

TST=2(lb+bh+hl)=6200

6200=2(2x×3x)+(3x×5x)+(5x×2x)

6200=2(6x^2+15x^2+10x^2)

6200=2(31x^2)

6200=62x^2

6200/62=x^2

100=x^2

therefore,x=10

then,

lenght=2×10=20cm

breadth=3×10=30cm

height=5×10=50cm