Math, asked by Laradhawan2408, 10 months ago

The surface area of a cuboid is 4212m^2. If it's dimensions are in the ratio 4:3:2 then find the volume of the cuboid ​

Answers

Answered by sunny2005rahul
5

In the above question the ratio of dimensions of cuboid and it's surface area is also given and it's said to find the volume of the cuboid and according to that here is the answer and hope it will help you.

#Answerwithquality #BAL

Attachments:
Answered by manishagoyal28618
1

Answer:

SA of cuboid = 4212m²

The dimension ratio = 4:3:2

= 4x,3x,2x

l= 4x, b=3x, h=2x

SA of cuboid = 4212

2(lh+bh+bl) = 4212

2(4x×2x + 3x×2x + 3x×4x) = 4212

8x² + 6x² + 12x² = 4212/2

26x² = 2106

x² = 2106/26

x² = 81

x = ± 9

So, x cannot be negative

x = 9

l = 4x

= 4×9

= 36m

b = 3x

= 3×9

= 27m

h = 2x

= 2×9

= 18m

Volume of cuboid = lbh

= 36×27×18

= 972×18

= 17496m²

Hence, the volume of cuboid is 17496m²

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