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Ackussinglake63
21.04.2020 •
Mathematics
A box is created from a square piece of cardboard 6 in. on a side by cutting a square from each corner and folding up the sides. Let x represent the length of the sides of the squares removed from each corner. box Write a function representing the volume of the box, V(x). Write as a polynomial in standard form. Note: To write a polynomial in standard form, remember, you must multiply everything out.
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Ответ:
The function which represents the volume of the box
V(x)=4x³-24x²+36x
where V(x) is in cubic inches.
Step-by-step explanation:
Cuboid:
Cuboid is a three dimension shape.It has 6 faces and 8 vertices.The length of diagonals isGiven that,
The dimensions of the cardboard is 6 inches by 6 inches.
The length of the side of the squares that removed from each corners of the cardboard is represented by x.
Then, the length of the box is = (6-2x) inches.
The width of the box is = (6-2x) inches
The height of the box is = x inches.
The volume of the box is= length ×width× height
=(6-2x)(6-2x) x cubic inches
={6(6-2x)-2x(6-2x)}x cubic inches
={36-12x-12x+4x²}x cubic inches
={36-24x+4x²}x cubic inches
=(36x-24x²+4x³) cubic inches
=(4x³-24x²+36x) cubic inches
The function which represents the volume of the box
V(x)=4x³-24x²+36x
where V(x) is in cubic inches.
Ответ:
Yes, it's
b)
Karen and Lyle have fixed positions, so