the height of the wall is six times its width and the length of the wall is 7 times its height if the volume of the world is 16128 cm find its breadth
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let height of wall = x cm
then, width = x/6 cm
and length = 7x cm
=>volume = l × b × h
=> 16128 = 7x × x/6 × x
=>7/6 x³ = 16128
=>x³ = 16128 × 6/7
=>x³ = 13824
=>x = (13824)⅓
=>x = 24cm
hence, width = x/6 = 24/6 = 4cm
then, width = x/6 cm
and length = 7x cm
=>volume = l × b × h
=> 16128 = 7x × x/6 × x
=>7/6 x³ = 16128
=>x³ = 16128 × 6/7
=>x³ = 13824
=>x = (13824)⅓
=>x = 24cm
hence, width = x/6 = 24/6 = 4cm
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