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)

Question

2 years ago

8

, and the width is (x-2). Find the expression representing the height of the box.
Ox-1
Ox-5
Ox+1
Ox-12

1 answer:

OlgaM077 [116] · Answer 1 · 2023-09-02T08:06:28+03:00

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.

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