Question

the surface area of a cuboid is 4212 metre square. If its dimensions are in the ratio 4:3:2. Find the volume of cuboid ​

Answer 1

Ratio of l:b:h=4:3:2

Let l=4x m b=3x m h = 2x m

Total surface area = 4212sq m 2(lb+bh+lh

=4212 2(4x*3x+3x*2x+2x*4x)

= 4212 2(12x^2+6x^2+8x^2)

=4212 2*26x^2

=4212 x^2

=4212/(2*26)

After cancellation x^2 =81 x^2

= 9^2 x=9

Therefore l=4x =4*9=36m

b=3x =3*9=27m

h=2x =2*9= 18m

Volume of a cuboid = l*b*h = 36m *27m * 18m =17496 m^3

can you please mark my answer as the BRAINLIEST

Answer 2

Answer:

let it's Sides be = 4x , 3x and 2x

A/q

2(4x*3x+3x*2x+2x*4x) = 4212

2*26x² = 4212

x² = 81

x = 9

so,

volume = 4x * 3x * 2x = 24x³ = 24*729 = 17496 (Ans)

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