The dimensions of a cuboid are in the ratio 3: 4:5 and its total surface area is 3384 cm.
Find the dimensions of the cuboid.
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2
3x *4x*5x=3384 cm cube
12x=3384
x=3384/12
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5
let the dimensions be 3x , 4x and 5x
TSA of cuboid = 2 ( lb + bh + hl )
2 ( 3x × 4x + 4x × 5x + 5x × 3x ) = 3384
2 ( 12x² + 20x² + 15x² ) 3384
2 ( 47x² ) = 3384
94x² = 3384
x² = 3384 / 94
x² = 36
x = 6
dimensions = 3 × 6 = 18cm
4 × 6 = 24 cm
5 × 6 = 30 cm
18 cm , 24 cm and 30cm
TSA of cuboid = 2 ( lb + bh + hl )
2 ( 3x × 4x + 4x × 5x + 5x × 3x ) = 3384
2 ( 12x² + 20x² + 15x² ) 3384
2 ( 47x² ) = 3384
94x² = 3384
x² = 3384 / 94
x² = 36
x = 6
dimensions = 3 × 6 = 18cm
4 × 6 = 24 cm
5 × 6 = 30 cm
18 cm , 24 cm and 30cm
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