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Sagot :
The amount Cindy should increase in each dimension of the scaled model is 12 m.
What is a rectangular prism?
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have:
The scaled model of the container has dimensions 2m by 4m by 6m.
Volume of the scaled model = 2×4×6 = 48 cubic m
Let x be the amount by which each dimension is increased.
(2 + x)(4 + x)(6 + x) = 84(48)
[tex]\rm 48+44x+12x^2+x^3=4032[/tex]
[tex]\rm x^3+12x^2+44x-3984=0[/tex]
[tex]\rm x-12=0\quad \mathrm{or}\quad \:x^2+24x+332=0[/tex]
The quadratic equation has no real solution so,
x = 12 m
Thus, the amount Cindy should increase in each dimension of the scaled model is 12 m.
Learn more about the rectangular prism here:
brainly.com/question/21308574
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