Q1
For a combined solid, we add the:
Acurved surface areas of exposed parts
Btotal surface areas of both parts, including joined surfaces
Conly the volumes
Donly the base areas
CBSEClass 10 (CBSE)MathematicsCh 12 · Topic 1
Surface Area of Combined Solids
Learning to calculate the surface area of solids formed by combining simpler shapes.
Core concept
For example, a solid formed by placing a hemisphere on top of a cylinder requires adding the cylinder's curved surface area, the cylinder's one flat circular base (bottom), and the hemisphere's curved surface area — but NOT the cylinder's top flat circle or the hemisphere's flat circular base, since these two surfaces are joined together internally and are no longer part of the combined solid's exposed exterior surface.
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• Combined solid surface area = sum of curved (exposed) surface areas of each part.
• Joined/internal surfaces (where two solids meet) are excluded from the total.
• Example: hemisphere on cylinder includes cylinder's curved area + bottom base + hemisphere's curved area.
• The cylinder's top and hemisphere's flat base are excluded, since they are joined internally.