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vesna_86 [32]
2 years 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]2 years 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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4 0
3 years ago
What is the volume of the prism?
jok3333 [9.3K]

Answer:

78.75 cm³

Step-by-step explanation:

Volume = Width × Height × Length

V = 5 × 4.5 × 3.5

V = 78.75 cm³

8 0
3 years ago
Algebra 1 polynomials hellllp​
defon
A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
350 + 10
360 = Length
————————————-
A = LW
A = 360 • 160
A = 57,600 ft^2
8 0
2 years ago
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