This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To calculate the surface area of the pyramid, we need to find the area of its square base and the area of its four triangular faces. Step 1: Calculate the area of the square base. The base has a side length of 5 cm. Area of base = side × side = (5 cm)^2 = 25 cm^2 Step 2: Calculate the area of one triangular face. Each triangular face has a base equal to the side length of the square base (5 cm) and a perpendicular height of 4 cm. Area of one triangle = (1)/(2) × base × height = (1)/(2) × 5 cm × 4 cm = 10 cm^2 Step 3: Calculate the total area of the four triangular faces. Since there are four identical triangular faces: Total area of triangles = 4 × Area of one triangle = 4 × 10 cm^2 = 40 cm^2 Step 4: Calculate the total surface area of the pyramid. The total surface area is the sum of the area of the base and the total area of the triangular faces. Total surface area = Area of base + Total area of triangles = 25 cm^2 + 40 cm^2 = 65 cm^2 The surface area of the pyramid is 65 cm^2. Send me the next one 📸