The volume of the box has equation x³-19x2+118x-408= 0 where x represents the height of the box in cm.
What are the dimensions of the box?
Hint:Factor the polynomial
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Solution :
l=18cm,b=10cm,h=6cm,t=1/2cm
Volume of wood=L*B*H-l*b*h
=18⋅10⋅6−17.5⋅9.5⋅5.5
=165.625cm3
Volume of sand=l⋅b⋅h=911.375
Weight of 1cm3 of wood=15/165.625=0.090kgcm3
=90gcm3
Weight of 1cm3 of wood=85914.325=0.093gcm3
=93gcm3.
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