Question

The dimensions of a cuboid are in the ratio 5: 3:1 and its total surface area is 414 sq m . Find the
dimensions of the cuboid.
​

Answer 1

1. let x present in equation
2. then surface area of cuboid =2(5x×3x+3x×x+x×5x)=414
3. x=3
4. then dimension= 15×9×3

Answer 2

Answer:

let the dimensions be 5x, 3x, x

surface area of cuboid = 2(lb+bh+hl),

2(5x*3x+3x*x+x*5x)=414m²

2(15x²+3x²+5x²)=414m²

2(23x²)=414m²

46x²=414m²

x²=414/46

x²=9

x=root over 9

x=3

Therefore the dimensions of the cuboid are

5*3=15m

3*3=9m

1*3=3m