A net for a three dimensional figure is shown on grid paper each square of the grid paper represents 1 inch with a small tube on top. What is the surface area of the three dimensional figure it says S.a.equals blank inch with a small two on top.
To find the surface area of a three-dimensional figure represented by a net, we need to calculate the area of each face and then add them together.
First, identify the faces of the three-dimensional figure shown on the net. Calculate the area of each face using the grid paper:
- The base of the figure (bottom square) has dimensions of 5 inches by 5 inches, so its area is 5 x 5 = 25 square inches.
- The top face (square with the small tube) also has dimensions of 5 inches by 5 inches, so its area is 25 square inches.
- There are 4 vertical faces (the sides of the figure), each with dimensions of 5 inches by 3 inches. The total area of these faces is 4 x (5 x 3) = 60 square inches.
Now, add together the areas of all the faces:
25 (base) + 25 (top) + 60 (sides) = 110 square inches
Therefore, the surface area of the three-dimensional figure is 110 square inches (S.a. = 110 in²).