What does ^ mean?
What does * mean?
In mathematics, the caret symbol (^) typically represents exponentiation, where the number before the caret is raised to the power of the number after the caret.
In programming, the asterisk symbol (*) is often used to represent multiplication or pointer operations, depending on the context in which it is being used.
The surface area of a square pyramid is given by the formula:
Surface area = base area + (1/2) * perimeter of base * slant height
First, calculate the base area:
Base area = side^2 = 12^2 = 144
Next, calculate the perimeter of the base (since it is a square, all sides are equal):
Perimeter = 4 * side = 4 * 12 = 48
Now, plug in the values into the formula:
Surface area = 144 + (1/2) * 48 * 18
Surface area = 144 + 24 * 18
Surface area = 144 + 432
Surface area = 576
Therefore, the surface area of the square pyramid is 576 square units.
Write this in pargraph form
The surface area of a square pyramid can be calculated using the formula: Surface area = base area + (1/2) * perimeter of base * slant height. To begin, we first find the base area by squaring the length of one side of the square base, which in this case is 12. Therefore, the base area is 144 square units. Next, we calculate the perimeter of the square base by multiplying the side length by 4, giving us a perimeter of 48 units. Plugging these values into the formula, we find the surface area to be 576 square units. Hence, the surface area of the square pyramid is 576 square units.
In kids words
To find the surface area of a square pyramid, we first need to find the area of the square base. The base area is like finding the space inside the square at the bottom of the pyramid, and for this pyramid, it's equal to 144 square blocks. Next, we calculate how long the outline of the square base is, which is 48 blocks all around. Then, we use a special formula to find the surface area, which involves the base area, the base outline, and how high the point of the pyramid goes. When we put all these numbers together, we get the total surface area of the square pyramid, which is 576 square blocks.
Teen words then. 🙄
Okay, let's break it down in teen words - the base area of the pyramid is 144 square units, and the perimeter of its base is 48 units. By using a formula and plugging in these values, we find out that the total surface area of the square pyramid is 576 square units. It's like calculating the space covered by the pyramid's sides and base altogether.
Show how!
Alright, here's a breakdown in more detail:
1. Calculate the base area:
Base area = side^2 = 12^2 = 144 square units
2. Find the perimeter of the base:
Since it's a square, all sides are equal. Therefore, the perimeter is:
Perimeter = 4 * side = 4 * 12 = 48 units
3. Use the formula to calculate the surface area:
Surface area = base area + (1/2) * perimeter of base * slant height
Surface area = 144 + (1/2) * 48 * 18
Surface area = 144 + 24 * 18
Surface area = 144 + 432
Surface area = 576 square units
So, by following these steps and calculations, the surface area of the square pyramid is determined to be 576 square units.