Question

The dimensions of a cuboid are in the ratio 6:3:2. Its volume is 2.304 m”. Find the dimensions.
and hence total surface area of cuboid.​

Answer 1

Answer:

Dimensions: 24 m, 12 m and 8 m

Total surface area: 1152 m^2

Step-by-step explanation:

Let the dimensions be 6x,3x and 2x.

Volume = lbh = 6x * 3x * 2x = 36x^3

36x^3 = 2304

x^3 = 64

x = 4

So length = 24 m, breadth = 12 m and height = 8 m

Total surface area of a cuboid = 2(lb + bh + lh)

= 2(288 + 96 + 192) = 1152 m^2

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