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The surface area of a cuboid is 3328 m2. If its dimensions are in the ratio 4:3:2. Find the volume of cuboid.
Asked by Ravindar | 18 Jun, 2019, 06:44: PM

Dimensions of a cuboid are in the ratio 4:3:2.

So, length = 4x, breadth = 3x and height = 2x

We know that,

Surface area of a Cuboid = 2(lb + bh + lh)
→ 3328 = 2[(4x × 3x)  + (3x × 2x) + (4x × 2x)
→ 3328 = 2(12x2+ 6x2 + 8x2)
→ 1664 = 26x2
→   x  = 64
→   x     = ± 8

x can't be negative.

length = 4x = 4(8) = 32m, breadth = 3x = 3(8) = 24m and height = 2x = 2(8) =16m

Volume of a Cuboid = length × breadth × height = 32 × 24 × 16 = 12288 m3

Answered by Yasmeen Khan | 19 Jun, 2019, 10:25: AM

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