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solmaris [256]
3 years ago
11

Consider the rectangular box with square bottom as shown below. All dimensions are measured in inches.

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Step-by-step explanation:

<u>Dimensions of the box, considering the base is a square:</u>

  • Length = w
  • Width = w
  • Height = h

(a)

The height is 9 inches greater than the width:

  • h = w  + 9

(b)

<u>Express the width in terms of height:</u>

  • w = h - 9

<u>Volume of the box:</u>

  • V = base * height
  • V = w²h
  • V = (h - 9)²h
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