Final answer:
The net made of a square and four identical triangles can be visualized as a pyramid-like structure. To find the total surface area of the net, calculate the areas of the square and triangles and add them together.
Step-by-step explanation:
The net made of a square and four identical triangles can be visualized as a three-dimensional shape. When the triangles are attached to the sides of the square, it creates a pyramid-like structure. To find the total surface area of the net, we need to calculate the area of each individual shape and then add them together. The area of the square can be found by multiplying its side length by itself: A = s². In this case, the side length is 4 cm, so the area of the square is 4 cm × 4 cm = 16 cm².
The area of each triangle can be calculated using the formula for the area of a triangle: A = 0.5 × base × height. Since the base and height of the triangles are both 4 cm, the area of each triangle is 0.5 × 4 cm × 4 cm = 8 cm². To find the total surface area of the net, we add the area of the square to the area of the four triangles: 16 cm² + 4 × 8 cm² = 48 cm².