The dimensions of a cuboid are in the ratio 5:3:1 and its total surface area is 414m2 find dimensions of
cuboid.
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let the sides be 5x,3x,x respectively,
now,we know that the totals surface area of cuboid =2(lb+bh+hl)
so we subsitute the quantities for 5x being l and 3x being b and x being h
=2(15x²+3x²+5x²)
=46x²
so,46x²=414
x²=9
x=3(we neglect the negative quantity)
so sides are 15,9.3 respectively
now,we know that the totals surface area of cuboid =2(lb+bh+hl)
so we subsitute the quantities for 5x being l and 3x being b and x being h
=2(15x²+3x²+5x²)
=46x²
so,46x²=414
x²=9
x=3(we neglect the negative quantity)
so sides are 15,9.3 respectively
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