The dimensions of a cuboid are in the ratio 3:4:5 and its total surface are is 3384 cm. Find the dimensions of the cuboid
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length (L) = 3x
breadth (b) = 4x
height (h) = 5x
TSA of cuboid = 2(Lb + bh + hL)
3384 = 2 [ (3x)(4x) + (4x)(5x) + (5x)(3x) ]
3384/2 = 12x^2 + 20x^2 + 15x^2
1692 = 47x^2
1692/47 = x^2
36 = x^2
x = 6
length (L) = 3(6) = 18 cm
breadth (b) = 4(6) = 24 cm
height (h) = 5(6) = 30 cm
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...... THANKS... :)
===========================================>>
length (L) = 3x
breadth (b) = 4x
height (h) = 5x
TSA of cuboid = 2(Lb + bh + hL)
3384 = 2 [ (3x)(4x) + (4x)(5x) + (5x)(3x) ]
3384/2 = 12x^2 + 20x^2 + 15x^2
1692 = 47x^2
1692/47 = x^2
36 = x^2
x = 6
length (L) = 3(6) = 18 cm
breadth (b) = 4(6) = 24 cm
height (h) = 5(6) = 30 cm
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...... THANKS... :)
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