Question

the surface area of cuboid is 1792 square CM if its Length breadth and height are in the ratio 4 ratio 2 ratio 1 then find the length of the cuboid? ​

Answer 1

Answer:

Step-by-step explanation:

TSA= 1792 sq. cm

Let length be 4x

Let breadth be 2x

Let height be x

Apply the formula for TSA i.e.- 2(lb+bh+lh).

=2[(4x*2x)+(2x*x)+(4x*x)].

=2(8x^2+2x^2+4x^2)

=2(14x^2)

28x^2

Form an equation here- 28x^2=1792

=>x^2=1792/28

=>x^2=64

=>x=8

Put up the values

Length=8*4=32cm

Breadth=8*2=16cm

Height=8*1=8cm

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