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vesna_86 [32]
1 year ago
8

The volume of a box, a rectangular prism, is represented by the function f(x) = x3 + 5x²-8x-12. The length of the box is (x + 6)

, and the width is (x-2). Find the expression representing the height of the box.
Ox-1
Ox-5
Ox+1
Ox-12
Mathematics
1 answer:
OlgaM077 [116]1 year ago
3 0

The expression representing the height of the box is x+1.

<h3>What is volume of cuboid?</h3>

The volume of the box is the product of length, breadth and width.

The volume of the box = l x b x h

x³ + 5x² -8x - 12 = (x + 6) . (x -2) .h

                          = (x²+ 4x -12) .h

h = (x³ + 5x² -8x - 12) / (x²+ 4x -12)

On dividing we get

h = x +1

Therefore, the expression representing the height of the box is x +1.

Learn more about volume of cuboid.

brainly.com/question/23118276

#SPJ1

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Find the perimeter of the triangle with vertices ​A(negative 2​,2​,3​), ​B(4​,negative 4​,3​), and ​C(7​,6​,4​).
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BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}

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