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
Hey Mercy, good to see you again. Here's the solution for question 5. Question 5: A cube of sides 6 cm is divided into smaller cubes of sides 1 cm. Determine: a) The total surface area of the larger cube. b) The total surface area of one smaller cube. c) Number of cubes that will be made. Step 1: Calculate the total surface area of the larger cube. The formula for the total surface area of a cube is 6 × (side)^2. The side length of the larger cube is 6 cm. Total surface area of larger cube = 6 × (6 cm)^2 = 6 × 36 cm^2 = 216 cm^2 a) The total surface area of the larger cube is 216 cm^2. Step 2: Calculate the total surface area of one smaller cube. The side length of a smaller cube is 1 cm. Total surface area of one smaller cube = 6 × (1 cm)^2 = 6 × 1 cm^2 = 6 cm^2 b) The total surface area of one smaller cube is 6 cm^2. Step 3: Calculate the number of smaller cubes that can be made. First, find the volume of the larger cube. Volume of larger cube = (side)^3 = (6 cm)^3 = 216 cm^3 Next, find the volume of one smaller cube. Volume of smaller cube = (side)^3 = (1 cm)^3 = 1 cm^3 To find the number of smaller cubes, divide the volume of the larger cube by the volume of one smaller cube. Number of smaller cubes = Volume of larger cubeVolume of smaller cube = 216 cm^31 cm^3 = 216 c) The number of cubes that will be made is 216. Send me the next one 📸