anjali9788
04.08.2019 •
Mathematics
The height of a box that bill is shipping is 4 inches less than the width of the box. the length is 10 inches more than twice the width. the volume of the box is 264 cubic inches. what are the dimensions of the box?
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Ответ:
height=x-4
length=2x+10
the volume of the box is:
volume=length*width*height
=x(x-4)(2x+10)
expanding the above we get:
(x^2-4x)(2x+10)
=x^2(2x+10)-4x(2x+10)
=2x^3+2x^2-40x=264
solving the above we get real solution will be
x=6
thus we conclude that the width is x=6 inches
length=2*6+10=22 inches
height=x-4=6-4=2 inches
thus the dimension will be:
width=6 inches, length=22 inches, height=2 inches
Ответ:
the correct answer to the question is is -0.07