Natalie N.

asked • 09/23/24

write a program

pyramid_Area1 that will ask the user to input the length of one side of a cube (in meters) and the number of layers of the pyramid. the program must use a loop. After that program write a second program number pyramid_area2 that performs the same calculation but this time without a loop. the programs may not use list, tuples, or dictionaries.


EXAMPLE OUTPUT( Using input 1,5):

Enter the side length in meters:1

Enter the number of layers: 5

You need 85.00 m^2 of golf foil to cover the pyramid

1 Expert Answer

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Christopher S. answered • 09/24/24

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Christopher S.

To answer part b, since Wyzant won't allow me to answer with multiple videos, you will write a simple program that solves the following expression: C^2 * (3*L^2 + 2* L) where C is the length of each cube, and L is the number of layers in the pyramid. This involves some thinking. First, you must determine the area of each side of the pyramid. I imagine it as 2D for simplicity. In the example provided with 5 layers and each cube having a length of 1, the area of each side is just 5 + 4 + 3 + 2 + 1. This is a common geometric series given by (x + 1) * x/2, where x is the largest number in the series. This multiplied by 4 (for each side of the pyramid) gives you the area of all the sides of the pyramid. So, 4 * L * (L + 1)/2 gives you the area of all the sides of the pyramid, which simplifies to 2 * L * (L + 1). The top view of the pyramid is much simpler. From the top, the entire area is essentially just a square because each layer is partially covered by the layer above it. Therefore, the top area is simply L^2. Adding this to the previous expression gives you L^2 + 2 * L * (L+1), which can be rewritten as 3*L^ 2+ 2 * L. However, this is only a viable solution in the case that the length of each individual cube is 1. To consider the scaling effect of changing the length of the cube, you need only add a multiplicative term of C^2. This is because the area of one side of a cube is its length times itself. Therefore, to answer part b, you need only write a simple function that solves the expression C^2 * (3 * L^2 + 2 * L).
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09/24/24

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