Question

the Length breadth and height of a cuboid are in ratio 6 ratio 5 ratio 4 if the surface area of cuboid is 592 metre square find the Length breadth height of the cuboid and volume of the cuboid​

Answer 1

Step-by-step explanation:

Let the length of the cuboid =6x, breadth =5x, height =3x

Total surface area of a cuboid of length l, breadth b and height h

=2(l×b+b×h+l×h)

Given, total surface area of the cuboid =504cm

2

2(6x×5x+5x×3x+6x×3x)=504cm

2

126x

2

=504

=>x=2

Hence, the length of the cuboid =6x=12cm, breadth =5x=10cm, height =3x=6cm

Volumeof a cuboid of length l, breadth b and height h =l×b×h

So, the volume of the cuboid with length =12cm, breadth =10cm and height =6cm=12×10×6=720cm