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
The question asks for the volume of each stack of cubes, where each small cube represents 1 cubic centimeter. To find the volume, we count the number of individual cubes in each stack. Step 1: Calculate the volume for stack a). Count the cubes in stack a). • Bottom layer: 3 cubes • Top layer: 2 cubes Total number of cubes = 3 + 2 = 5 cubes. The volume is 5 cubic centimeters. Step 2: Calculate the volume for stack b). Count the cubes in stack b). • Bottom layer: There are 2 cubes in the front row and 2 cubes in the back row, making a 2 × 2 base. So, 2 × 2 = 4 cubes. • Top layer: 2 cubes Total number of cubes = 4 + 2 = 6 cubes. The volume is 6 cubic centimeters. Step 3: Calculate the volume for stack c). Count the cubes in stack c). • Bottom layer: There are 3 cubes in the front row, 3 in the middle row, and 3 in the back row, making a 3 × 3 base. So, 3 × 3 = 9 cubes. • Middle layer: There are 2 cubes in the front row and 2 cubes in the back row, making a 2 × 2 layer. So, 2 × 2 = 4 cubes. • Top layer: 1 cube Total number of cubes = 9 + 4 + 1 = 14 cubes. The volume is 14 cubic centimeters. The volumes for each stack are: a) 5 cubic centimeters b) 6 cubic centimeters c) 14 cubic centimeters Send me the next one 📸