n. The area of 4 walls of a cuboidal box is 256 cm2. If the length of

1.	n. The area of 4 walls of a cuboidal box is 256 cm2. If the length of the box is 5 times the heightHOTSand breadth is 3 times the height, find the dimensions of the cuboidal box.
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 thanks

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

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

thanks