The net shown below forms a square pyramid. Find the surface area of the square pyramid.
The numbers are 5, 5 and 4. How do I do this?
well, what do the lines on the net represent?
The surface area is the area of the square base, plus 4 isosceles triangles.
I know that it is one square and up above it to the top is a triangle with the number 5 and to the left of it is another triangle with the number 5 and to the right of it is another triangle with the number 4 going straight across.
A net is an unfolding of a line drawing of the pyramid. Each line represents an edge of the original figure. So, they will give a way to determine the dimensions and thus the area and volume of the pyramid.
If you google "square pyramid net" you will see lots of images and articles.
well, it sounds like the triangles have two sides of length 5, and an altitude of 4.
That means, each triangle consists of adjoining 3-4-5 right triangles, making a base of 6, which is also the side of the square.
So, the area of the pyramid is
4^2 + 4*(6*4)/2 = 64
rate. make that
6^2 + 4*(6*4)/2 = 84
Why are y’all not giving the right answer
I'm confused
To find the surface area of a square pyramid, you need to calculate the area of each individual face and then sum them up.
Let's break it down step by step using the given information. The numbers 5, 5, and 4 represent the dimensions of the square pyramid's base and height.
1. Start by finding the area of the square base. The formula for the area of a square is side^2, so in this case, the area of the base is 5^2 = 25 square units.
2. Next, calculate the area of each triangular face of the pyramid. Since it is a square pyramid, it has 4 triangular faces. The formula to find the area of a triangle is (1/2) * base * height. In this case, the base of each triangle is 5 units (the length of one side of the square base), and the height of each triangle is 4 units (the height of the pyramid).
3. Plug the values into the formula: area of a triangle = (1/2) * base * height. It becomes (1/2) * 5 * 4 = 10 square units for each of the four triangular faces.
4. Finally, sum up the areas of all the faces. The surface area of a square pyramid is given by the sum of the areas of the base plus the areas of the four triangular faces.
So, the surface area = area of the base + (area of each triangular face * number of faces)
Surface area = 25 + (10 * 4) = 25 + 40 = 65 square units.
Therefore, the surface area of the square pyramid is 65 square units.