Question

The area of 4walls of a cuboidal box is 256cm². If the length of box is 5times the height and breadth is 3times tha height, find the dimensions of the cuboidal box

Answer 1

Hola

Here is your answer

Area of 4 walls = 256cm^2

Let the height be x

Length = 5x

Breadth = 3x


To find - Length , Breadth , Height


Calculation -

As we know the area of 4 walls is given .

Thus, it's lateral surface area of cuboid since it's area of 4 walls excluding the top and base.


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

Thus,

2(x) [ 5x + 3x ] = 256

10x^2 + 6x^2 = 256

16x^2 = 256

Therefore x^2 = 256/16 = 16

=> x = √16 = 4

Thus we got the value of x = height = 4 cm


Length = 5x = 5(4) = 20 cm

Breadth = 3x = 3 (4) = 12 cm



$<b>Answer- Length - 20 cm Breadth = 12 cm , Height = 4cm</b>$


Hope it helps :)

Answer 2

Answer:

Hey dear here is ur answer.........

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