Question

The length of two cuboid are in the ratio of 2:3 ,their breadth are in the ratio of 3:4 and heights are in the ratio of 4:5 then the ratio of their surface are will be​

Answer 1

Answer:

Let for the cuboid,length =5x

breadth =3x

and height =2x

Total surface area of cuboid =558cm

2

⇒2(lb+bh+hl)=558

⇒(5x×3x)+(3x×2x)+(2x×5x)=

2

558

⇒15x

2

+6x 2

+10x 2

=279

31x

2 =279

x 2 = 31279

x 2 =9x= 9

=3cm

∴ The length of the cuboid 5×3=15cm

breadth =3×3=9cm

height =2×3=6cm

Hence, the length=15 cm, breadth=9cm and height=6cm.

Step-by-step explanation:

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Answer 2

Answer:

Solution

Let for the cuboid,length =5x

breadth =3x

and height =2x

Total surface area of cuboid =558cm^2

⇒2(lb+bh+hl)=558

⇒(5x×3x)+(3x×2x)+(2x×5x)= 558/2

⇒15x^2+6x^2+10x^2 =279

31x^2=279

x^2 = 279/31

x^2 =9

x= 9

=3cm

∴ The length of the cuboid 5×3=15cm

breadth =3×3=9cm

height =2×3=6cm

Hence, the length=15 cm, breadth=9cm and height=6cm.