Q1 Labelling Diagrams: Slant height & Area of Rect (SL3.3) May 2022 - Paper 1 - TZ1 - IB Math AI SL

Q1 Labelling Diagrams: Slant height & Area of Rect (SL3.3) May 2022 - Paper 1 - TZ1 - IB Math AI SL Welcome to ZuAI - Ace Your IB Exams! In today's video, we will solve an IB Math problem involving the calculation of the area to be painted on the roof of a doghouse. This question covers geometry concepts that are crucial for your IB board exams. Question Breakdown: The front view of a doghouse is made up of a square with an isosceles triangle on top. The doghouse is 1.35 meters high and 0.9 meters wide, and sits on a square base. The top of the rectangular surfaces of the roof of the doghouse are to be painted. We will find the area to be painted. Solution: To solve this problem, we need to: Determine the dimensions of the triangular part of the roof. Calculate the slant height of the triangular part. Use the slant height to find the area of the two rectangular surfaces of the roof. Step-by-Step Solution: The width of the base is 0.9 meters, and the height of the doghouse is 1.35 meters. The height of the triangular part is 1.35 - 0.9 = 0.45 meters. Using the Pythagorean theorem, we find the slant height of the triangle: slant height = sqrt((0.45/2)^2 + 0.9^2). Finally, the area to be painted is calculated by multiplying the slant height by the width and then by 2 (since there are two rectangular surfaces). Subscribe to our channel for more IB exam tips and solutions! Learn with ZuAI - your AI study buddy for IB exams. Visit ZuAI.co for personalized learning support. Tags: IB Math, IB Board Exams, Geometry, Area Calculation, Doghouse Roof, ZuAI, IB Exam Tips, Study Tips, Math Solutions, IB Exam Help, ZuAI - Ace Your IB Exams, Math Problems, AI Study Buddy, IB Study Guide, Exam Preparation, IB Math Help, Math Tips, IB Exam Practice, Study Smart Search Keywords: IB Math, IB Board Exams, Geometry, Area Calculation, Doghouse Roof, IB Exam Tips, Study Tips, Math Solutions, Exam Preparation