Question

The surface area of a cuboid is 3328 cm² , Its dimensions are in the ratio 4 : 3 : 2 then find the volume of the cuboid .​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

9216 cm³

Step-by-step explanation:

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Length = l

Breadth = b

Height = h

Area of a cuboid = 2lb + 2lh + 2bh

Given that,

The dimensions are in the ratio of 4:3:2 and the area is given to be 3328 cm²

So,

2(4x*3x) + 2(4x*2x) + 2(3x*2x) =3328 cm²

2(12x²) + 2(8x²) + 2(6x²)  =3328

24x² + 16x² +12x²  =3328

52x²  =3328

x²  = 3328/52

x²  = 64

x  = √64

x = 8

Therefore, the values are:

Length = 4x = 4*8 = 32

Breadth = 3x = 3*8 = 24

Width = 2x = 2*8 = 16

Volume of a cuboid = l*b*h

Volume = 32*24*16

Volume = 9216 cm³