9. The dimensions of a cuboidal box are in the ratio 3:2:1 and the total surface area is
2,816 sq cm. Find its weight if dens

1 thought on “9. The dimensions of a cuboidal box are in the ratio 3:2:1 and the total surface area is<br />2,816 sq cm. Find its weight if dens”

1. Step-by-step explanation:

   I think the weight should be 1g/cm³

   Here, let

   l= 3x

   b= 2x and h= x

   TSA= 2(lb+lh+bh)

   2816cm²= 2(6x²+3x²+2x²)

   2816cm²=2×11x²

   256cm²=2x²

   x= √256/2= 16/√2 = (8√2)cm

   Vol³= l×b×h

   = 3(8√2)cm ×2(8√2)cm×(8√2)cm

   = 6cm³×512√8

   =3072cm3×2√2= (6144√2)cm3= 8663.04cm3

   therefore its weight= 8663.04cm³×1g/cm³= 8863.04g

   or 8.86304 kg

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