Answer:

Hey mate your answer is below!!

Step-by-step explanation:

Corrected question:-

If the length, breadth, and height of cuboid are 5:3:2 and its perimeter 240 whats its length ,breadth height

Solution:-

Let us assume that,

• Length of cuboid=5x
• Breadth of cuboid=3x
• Height of cuboid=2x

We know,

Perimeter of cuboid=4(length+breadth+height)

On substituting the values in above formula we get,

Here already the perimeter of cuboid, so we can also substitute in that,

[tex] \longmapsto \: 240 = 4(5x + 3x + 2x)[/tex]

[tex]\longmapsto \: 240 = 4(10x)[/tex]

[tex]\longmapsto \: 240 = 40x[/tex]

[tex]\longmapsto \: \dfrac{240}{60} = x[/tex]

[tex]\longmapsto \: \cancel{\dfrac{240}{40}} = x[/tex]

[tex]\implies \: 6 = x[/tex]

Calculating the measures,

• Length of cuboid=5x=5(6) =30
• Breadth of cuboid=3x=3(6) =18
• Height of cuboid=2x=2(6) =12