Combination of Three Solids
Now that we have seen the combination of two solids, let us look at a more complex topic: combination of three solids.
Cylinder and Two Cones
Here, let us consider that the cones are identical and base radius of the cone and the cylinder is the same.
∴ SA of solid = CSA of cylinder + 2 x (CSA of cone)
SA of solid = 2πrh + 2 x (πrl)
SA of solid = 2πr(h + l)
Cylinder and Two Hemispheres
Here, let us consider that the hemispheres are identical and base radius of the hemispheres and the cylinder is the same.
∴ SA of solid = CSA of cylinder + 2 x (CSA of hemisphere)
SA of solid = 2πrh + 2 x (2πr2)
SA of solid = 2πrh + 4πr2
SA of solid = 2πr(h + 2r)
Surface Area of a Combination of Solids
All of us who study the chapters on surface area calculation have at least once wondered how to find the surface area of everyday objects like pencils, buckets, earthen pots and medicine capsules, isn’t it? Well, it isn’t as difficult as it seems- because these objects can be simplified as a combination of simple solid shapes. By the end of this article, you will thoroughly understand how to find the surface area of a combination of solids, right from the basics.
Table of Content
- What is Surface Area?
- Total Surface Area (TSA)
- Curved Surface Area (CSA)
- Surface Areas of Basic Solids
- Surface Area of Combinations of Solids
- Combination of Two Solids
- Combination of Three Solids
- Solved Problems on Surface Area of Combinations of Solids
- What about irregular shapes?
- Application in Real-Life Examples
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