the length, breadth and height of a cuboid are in the ratio 6:5:3. If the total surface area is 504 cm sq. , find its dimension. Also find the volume of the cuboid.
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Total surface Area of a Cuboid = 2 (lb+bh+lh)
Here Length L = 6x
Breadth B = 5x
Height H = 3x
TSA = 2 ( 6x*5x + 5x*3x + 6x*3x) = 504 cm^2
2(63x^2) = 504
x^2 = 504/2 *63
x^2 = 4 Therefore, x=2
Volume of the cuboid = lbh = 12*10*6 = 720cm^3
Here Length L = 6x
Breadth B = 5x
Height H = 3x
TSA = 2 ( 6x*5x + 5x*3x + 6x*3x) = 504 cm^2
2(63x^2) = 504
x^2 = 504/2 *63
x^2 = 4 Therefore, x=2
Volume of the cuboid = lbh = 12*10*6 = 720cm^3
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