Question

the whole surface area is 864if the ratio of its lenght breadth and height is5:4:3 find length breadth height

Answer 1

Step-by-step explanation:

Let the length,breadth and height be 5x,4xand 3x

Lateral surface area of cuboid = 2(l+b)x h

A/Q,

864= 2(5x+4x)3x

864= 6x(9x)

864= 54x^2

x^2 = 864/54=16

x =

$\sqrt{16}$

x = 4

Therefore,length = 20

Breadth = 16

Height = 12

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Answer 2

Answer:

Let the length,breadth and height be 5x,4xand 3x

Lateral surface area of cuboid = 2(l+b)x h

A/Q,

864= 2(5x+4x)3x

864= 6x(9x)

864= 54x^2

x^2 = 864/54=16

x =

\sqrt{16}

16

x = 4

Therefore,length = 20

Breadth = 16

Height = 12