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a rectangular box mailing box has a length in inches of x+5, width of x+1, and a height twice as long as its width. What is the volume of the box in cubic inches?

a rectangular box mailing box has a length in inches of x+5, width of x+1, and a height-example-1
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User Thdoan
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2 Answers

4 votes

Answer:

option C:

2x³ + 14x² + 22x + 10, cubic inches

Explanation:

volume of the rectangular box = length * width * height

according to the given question,

length = x + 5, inches

width = x + 1, inches

height = 2(width) = 2(x + 1) = 2x + 2, inches

thus,

volume of the box = (x + 5) * (x + 1) * (2x + 2)

= (x² + x + 5x + 5) * (2x + 2)

= (x² + 6x + 5) * (2x + 2)

= 2x³ + 2x² + 12x² + 12x + 10x + 10

= 2x³ + 14x² + 22x + 10, cubic inches

thus, option C is the correct answer.

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User Shinigamae
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5 votes

Answer:

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User Shadeglare
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