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Learn Challenge: Envelope Calculator | Geometric Computation and Spatial Analysis
Python for Architects

Challenge: Envelope Calculator

You are tasked with creating a function that calculates key envelope properties for a rectangular building. These properties are important in architectural design for understanding the building's exterior boundaries and surfaces. The function you need to write will take three measurements: the length, width, and height of the building. Using these, you will compute three values: the perimeter of the building's base, the total wall surface area (excluding the roof and floor), and the area of the roof.

First, consider the perimeter. For a rectangle, the perimeter is the sum of all four sides. In this case, the formula is 2 * (length + width). Next, the wall surface area includes the four vertical sides of the building, but not the roof or floor. Each pair of opposite walls has the same area: two walls are length x height and the other two are width x height. Add these together to get the total wall area: 2 * (length * height) + 2 * (width * height). Finally, the area of the roof is simply the area of the rectangle at the top of the building: length * width.

You will return these values in a dictionary with the keys 'perimeter', 'wall_area', and 'roof_area'. Each value should be a float or integer, depending on the input. This function will be useful for quickly assessing building envelope properties in various architectural calculations.

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Section 2. Chapter 5
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Challenge: Envelope Calculator

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You are tasked with creating a function that calculates key envelope properties for a rectangular building. These properties are important in architectural design for understanding the building's exterior boundaries and surfaces. The function you need to write will take three measurements: the length, width, and height of the building. Using these, you will compute three values: the perimeter of the building's base, the total wall surface area (excluding the roof and floor), and the area of the roof.

First, consider the perimeter. For a rectangle, the perimeter is the sum of all four sides. In this case, the formula is 2 * (length + width). Next, the wall surface area includes the four vertical sides of the building, but not the roof or floor. Each pair of opposite walls has the same area: two walls are length x height and the other two are width x height. Add these together to get the total wall area: 2 * (length * height) + 2 * (width * height). Finally, the area of the roof is simply the area of the rectangle at the top of the building: length * width.

You will return these values in a dictionary with the keys 'perimeter', 'wall_area', and 'roof_area'. Each value should be a float or integer, depending on the input. This function will be useful for quickly assessing building envelope properties in various architectural calculations.

Task

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Write a function named envelope_calculator that:

  • Takes three arguments: length, width, and height.
  • Calculates the perimeter of the building's base using the formula: 2 * (length + width).
  • Calculates the total wall surface area (excluding roof and floor) using the formula: 2 * (length * height) + 2 * (width * height).
  • Calculates the area of the roof using the formula: length * width.
  • Returns a dictionary with keys 'perimeter', 'wall_area', and 'roof_area' mapped to their corresponding calculated values.

Solution

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Section 2. Chapter 5
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