the total surface area of cuboid is 63200cm^2 and its lenght,breadth and height are in the ratio 8:5:3.find the dimensions of cuboid.
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let the common ratio among length, breadth and height be 'x', therefore,
length =8x
breadth =5x
height = 3x
Now putting the values in the formula of TSA of cuboid : [2(lb + bh + hl)] = TSA OF cuboid
{2(8x * 5x) +(5x * 3x) + (3x * 8x)} = 63200
=> 2*(40x^2 + 15x^2 + 24x^2) = 63200
=> 2 * 79x^2 = 63200
Therefore, x=20
Hence,
length = 8x = 160
breadth = 5x = 100
height = 3x = 60
length =8x
breadth =5x
height = 3x
Now putting the values in the formula of TSA of cuboid : [2(lb + bh + hl)] = TSA OF cuboid
{2(8x * 5x) +(5x * 3x) + (3x * 8x)} = 63200
=> 2*(40x^2 + 15x^2 + 24x^2) = 63200
=> 2 * 79x^2 = 63200
Therefore, x=20
Hence,
length = 8x = 160
breadth = 5x = 100
height = 3x = 60
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