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
Step 1: Calculate the volume of the cube. The dimensions of the cube are given as length = 20 cm, breadth = 20 cm, and height = 20 cm. Using the formula: Volume of Cube = length × breadth × height Volume of Cube = 20 cm × 20 cm × 20 cm Volume of Cube = 8000 cm^3 Step 2: Calculate the volume of one pyramid. The problem states that the solid cube is cut into six square-based pyramids. Therefore, the volume of one pyramid is the total volume of the cube divided by 6. Volume of one pyramid = Volume of Cube6 Volume of one pyramid = 8000 cm^36 Volume of one pyramid = 1333.333... cm^3 Step 3: Round the volume of one pyramid to the nearest 100. Rounding 1333.333... cm^3 to the nearest 100: The hundreds digit is 3. The digit to its right is 3, which is less than 5, so we round down (keep the hundreds digit as it is and change subsequent digits to zero). Volume of one pyramid (rounded) ≈ 1300 cm^3 This shows that the volume of one pyramid, rounded to the nearest 100, is approximately 1300 cm^3. The volume of the cube is 8000 cm^3 and the volume of one pyramid, rounded to the nearest 100, is approximately 1300 cm^3. Send me the next one 📸