Question

the total surface area of the cuboid is 13950 cm cube and its Length breadth and width are given in the ratio 2, 3 and 5​

Answer 1

l=30cm,b=45cm,h=75cm

Here is the solution

Answer 2

SOLUTION :

$given \: ratio \: of \: length(l) \: breadth(b) \: and \: height \\ (h) = 2 : 3 : 5 \\ \\ let \: l = 2x \: \: \: \: \: \: b = 3x \: \: \: \: \: \: h = 5x \\ \\ total \: surface \: area \: of \: cuboid \: = 13950 \: cm {}^{3} \\ \\ = > 2(lb + lh + bh) = 13950 \\ \\ = > 2(6 {x}^{2} + 10 {x}^{2} + 15 {x}^{2} ) = 13950 \\ \\ = > 31{x}^{2} = \frac{13950}{2} \\ \\ = > 31 {x}^{2} = 6975 \\ \\ = > {x}^{2} = \frac{6975}{31} = 225 \\ \\ = > x = \sqrt{225} = 15 \\ \\ = > length \: = 2x = 30cm \\ \\ breadth = 3x = 45cm \\ \\ height = 5x = 75cm$

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