Case Study Questions for Class 9 Surface Area and Volume
Preparing well for board exams requires practice on case study questions for class 9 surface area and volume. These questions test conceptual clarity and real-life application skills. Students often search for class 9 maths surface area and volume case study to improve their confidence and problem-solving approach. Moreover, cbse class 9 surface area and volume case study questions are frequently included in sample papers, making them essential for exam preparation.
Class 9 Mensuration Case Study Questions
In mensuration, students face math case study questions on surface area and volume for class 9. These involve cubes, cuboids, cylinders, and cones. Additionally, class 9 mensuration case study questions strengthen the ability to apply formulas. Therefore, solving these regularly ensures better time management. Furthermore, combining NCERT examples with online resources makes practice more effective and result-oriented.
Online Practice for Better Results
Free tests and solved examples are widely available. With proper revision and guided practice, students can enhance accuracy. Hence, consistent attempts at cbse class 9 surface area and volume case study questions will boost exam performance significantly.
Case Study 3: Surface Areas and Volumes
A small engineering firm manufactures a decorative hollow cube lamp for a design fair. The lamp is made from a solid wooden cube of side 1.40 m (i.e. 140 cm). A vertical cylindrical hole of radius 0.35 m (i.e. 35 cm) is drilled centrally through the cube from the top face to the bottom face so that the axis of the cylinder passes through the centre of the cube. The wood removed by drilling will be used to make small dowel pieces, and the interior curved surface exposed by the drilling will be finished with a satin polish. The outer six faces of the cube are to be painted except the two circular openings on the top and bottom (i.e. those circular areas are left open). The client asks the firm to provide: (i) the volume of wood remaining in the cube after drilling (in cubic centimetres and in litres), (ii) the area of the interior curved cylindrical surface exposed by drilling (in square centimetres), (iii) the total external painted area (in square metres) after excluding the two circular openings, and (iv) the total material removed (in cubic centimetres). Use π = 22/7 wherever numerical evaluation is required. Carefully convert units where necessary. This problem requires combining formulae for cubes and cylinders, unit conversion, and attention to which faces/areas are included or excluded when computing painted area.
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