A net for a 3 dimensional figure is shown on grid the grid paper. Each square of the grid paper represents 1 square foot. What is the surface area of the three dimensional figure? Show your work.
Unfortunately, you did not provide any information about the net or the three-dimensional figure shown on the grid paper. Without this information, it is not possible to calculate the surface area of the figure.
Please provide the necessary information about the net or the three-dimensional figure so that I can assist you further.
To find the surface area of a three-dimensional figure, we need to determine the area of each face and then sum them up.
In this case, we have a net for the three-dimensional figure on a grid paper. We can calculate the surface area by determining the number of square units covered by the net.
First, identify each face of the net. Each face is represented by a polygon in the net. Count the number of square units inside each polygon, including both whole and partial units. Multiply this count by the scale of the grid paper to determine the area of each face.
Next, sum up the areas of all the faces to find the total surface area of the three-dimensional figure.
Remember that the grid paper represents each square as 1 square foot. So, the area of each face will be the number of square units multiplied by the scale of the grid paper (1 square foot).
Make sure to carefully count and calculate the areas for each face to accurately find the total surface area of the figure.
To determine the surface area of the three-dimensional figure, we need to calculate the area of each face and then sum them up.
First, let's identify the faces of the figure from the net on the grid paper:
1. Top face: This face is represented by the outline of the figure on the grid. Count the number of unit squares within the outline to find the area.
2. Bottom face: The bottom face is identical to the top face, so it has the same area.
3. Side faces: There are four side faces. To determine their areas, count the number of unit squares on each side face in the grid.
Once we have calculated the areas of all the faces, we can add them together to find the total surface area.
Let's assume the top face has an area of 25 square feet, the bottom face has an area of 25 square feet, and each side face has an area of 16 square feet.
The total surface area would be:
Top face area + Bottom face area + (Side face 1 area + Side face 2 area + Side face 3 area + Side face 4 area)
= 25 + 25 + (16 + 16 + 16 + 16)
= 50 + 64
= 114 square feet.
Therefore, the surface area of the three-dimensional figure is 114 square feet.