Question

The lower half of a square pyramid is made of granite and the top half is made of limestone. Explain how you could find the surface area of the exposed granite.

Answer 1

Answer:

Area of the surface area of the lower half made of exposed granite = 1/4 (Perimeter of the base * Slant length)

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

Lower half of a square pyramid is made of granite

Top half of a square pyramid is made of limestone

2. Let's explain how we could find the surface area of the exposed granite.

First of all, let's remember what is the area of a square pyramid:

Area of square pyramid = Base area + Surface area of the four sides

Normally, we need to know the length of the square base and the slant length. And now let's replace in the formula:

Area of square pyramid = Length of the side of the square² + 1/2 (4 * Length of the side of the square * Slant length)

For calculating the surface area of the lower half made of exposed granite, we need to don't consider the base area and just the half of the surface area of the four sides, so the formula is:

Area of the surface area of the lower half made of exposed granite = 1/2 [1/2 (4 * Length of the side of the square * Slant length)]

Area of the surface area of the lower half made of exposed granite = 1/4 (4 * Length of the side of the square * Slant length)

Area of the surface area of the lower half made of exposed granite = 1/4 (4 * Length of the side of the square * Slant length)

Area of the surface area of the lower half made of exposed granite = 1/4 (Perimeter of the base * Slant length)

If we want to know the surface area of the lower half made of limestone, we can use the same formula:

Area of the surface area of the lower half made of limestone = 1/4 (Perimeter of the base * Slant length)