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 | 18th Jun, 2019, 06:44: PM

Expert Answer:

 
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 | 19th Jun, 2019, 10:25: AM