find the surface area of a pyramid in javascript

To find the surface area of a pyramid in JavaScript, we need to first calculate the area of each face and then add them up.

Let's assume that we have the following variables:

  • base which is the length of one side of the base of the pyramid
  • height which is the height of the pyramid from the center of the base to the tip

Then, the surface area can be found using the following formula:

index.tsx
area = 0.5 * base * slantHeight + base^2
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where slantHeight is the height of each triangular face of the pyramid, which can be calculated using the Pythagorean theorem:

index.tsx
slantHeight = sqrt(height^2 + (0.5*base)^2)
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Putting everything together, we can write the following JavaScript function:

index.tsx
function pyramidSurfaceArea(base, height) {
  const slantHeight = Math.sqrt(height**2 + (0.5 * base)**2);
  const area = 0.5 * base * slantHeight + base**2;
  return area;
}
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We can test the function with the following inputs:

index.tsx
const base = 5;
const height = 10;

const surfaceArea = pyramidSurfaceArea(base, height);
console.log(surfaceArea); // output: 120.71067811865473
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So, the surface area of a pyramid with a base of length 5 and height of 10 is approximately 120.71 square units.

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