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
Let's calculate the volume of the first figure, part (a). Step 1: Identify the dimensions of the triangular base. The base of the triangle is 3 cm and its height is 4 cm. Step 2: Calculate the area of the triangular base. The formula for the area of a triangle is (1)/(2) × base × height. Area of base = (1)/(2) × 3 cm × 4 cm = (1)/(2) × 12 cm^2 = 6 cm^2 Step 3: Calculate the volume of the prism. The formula for the volume of a prism is Area of base × length of prism. The length of the prism is 10 cm. Volume = 6 cm^2 × 10 cm = 60 cm^3 The volume of the figure in (a) is 60 cm^3. Send me the next one 📸