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
Here are the solutions to the problems: Part (الف): Name the 3D shapes formed by the given nets. First net: This net consists of six rectangular faces, where two opposite faces are squares and the other four are rectangles. When folded, it forms a three-dimensional shape called a cuboid* (or rectangular prism). The shape is Cuboid. Second net: This net consists of six identical square faces arranged in a cross shape. When folded, it forms a three-dimensional shape called a cube*. The shape is Cube. Part (ب): Solve the given examples. Write True or False. 1. 7 × 5 < 56 - 19 Step 1: Calculate the left side of the inequality. 7 × 5 = 35 Step 2: Calculate the right side of the inequality. 56 - 19 = 37 Step 3: Compare the results. 35 < 37 The statement is True. 2. 12 + 9 > 45 ÷ 9 Step 1: Calculate the left side of the inequality. 12 + 9 = 21 Step 2: Calculate the right side of the inequality. 45 ÷ 9 = 5 Step 3: Compare the results. 21 > 5 The statement is True. Part (ج): Fill in the blanks with the correct numbers to make the algebraic sentences correct. 1. 35 ÷ 7 = x + y Step 1: Calculate the left side of the equation. 35 ÷ 7 = 5 Step 2: Find two numbers that add up to 5. One possible solution is 5 and 0. 5 = 5 + 0 So, 35 ÷ 7 = 5 + 0. (Other valid answers include 4+1, 3+2, etc.) 2. 4 × x < y - 9 Step 1: Choose a number for the first blank, for example, 2. 4 × 2 = 8 Step 2: The inequality becomes 8 < y - 9. Step 3: To satisfy the inequality, y - 9 must be greater than 8. y - 9 > 8 y > 8 + 9 y > 17 Step 4: Choose a number greater than 17 for the second blank, for example, 18. 4 × 2 < 18 - 9 Check: 8 < 9, which is true. So, one possible solution is 4 × 2 < 18 - 9. (Many other solutions are possible.)