What are the Common Mensuration Problems?

For Class 8 students, mensuration problems typically focus on applying formulas to practical situations. Here are some common problem types:

1. Finding the Area of Quadrilaterals: Problems that require finding the area of a trapezium, rhombus, or a general quadrilateral (often by splitting it into two triangles).
2. Area of Composite Shapes: Calculating the area of a shape made up of multiple simpler shapes, such as a rectangular park with a circular flower bed in the center.
3. Cost Calculation Problems: Questions that involve finding an area or perimeter and then multiplying by a given rate. For example, "Find the cost of painting a cuboidal wall at ₹10 per square meter."
4. Volume and Capacity Problems: Calculating the volume of a cube, cuboid, or cylinder. This is often framed as finding the capacity, e.g., "How much water can a cylindrical tank hold?"
5. Surface Area Problems: Finding the total surface area to be painted or covered. For example, "How much paper is needed to wrap a cuboidal gift box?"
6. Finding a Missing Dimension: Problems where the area or volume is given, and the student must find a missing dimension like the height of a cylinder or the side of a cube.