The most efficient measurements of the box should be 4cm long, 1cm wide and 2cm high so that its cost is $129.2
<h3>How to calculate the measures of the rectangular box?</h3>
To calculate the measurements of the rectangular box we must take into account the following condition:
- Bottom and top measure x by 4x.
According to the above, we can establish that the most appropriate measurement for the bottom and top should be 1cm (width) × 4cm (length). Additionally we can establish that the height of the box would be 2cm.
<h3>How to find the volume of this box?</h3>
To find the volume of the box we must use the following formula:
- height × width × length = volume.
- 2cm × 1cm × 4cm = 8cm³
<h3>What are the areas of this box?</h3>
The areas of this box are:
- Bottom and top: 1cm × 4cm = 4cm²
- Sides: 1cm × 2cm = 2cm²
- Front and rear: 2cm × 4cm² = 8cm²
<h3>What is the price of this box?</h3>
The total price of this box is as follows:
Top and bottom:
- 4cm² × $3.90 = $15.6
- $15.6 × 2 = $31.2
Sides:
- 2cm² × $4.90 = $9.80
- $9.80 × 2 = $19.6
- 8cm² × $4.90 = $39.2
- $39.2 × 2 = $78.4
- $78.4 + $19.6 + $31.2 = $129.2
Learn more about boxes in: brainly.com/question/23952628
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