Surface Areas and Volumes
A tent, a capsule, an ice cream cone, a bucket: real things are rarely a plain cube or a plain cylinder.
- They are solids joined together, cut, melted and poured into new shapes.
- In this chapter you find how much canvas, paint or metal a combined solid needs, how much it holds, what happens when a solid is recast, and how a frustum of a cone works.
- It follows the Indian syllabus (the frustum is also in the state boards, IGCSE and GCSE Mathematics) and the mensuration of SAT Math.
- Python checks every formula.
Part of Mathematics · High School (9–10) (chapter 15)
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Surface Area of Solids Joined Together
The curved and total surface areas of the cube, cuboid, cylinder, cone, sphere and hemisphere. Then solids joined or hollowed out, such as a toy, a capsule and a tent, and the rule for which faces count.
Volume and Recasting of Solids
The volumes of the basic solids and of solids joined together. Then a solid melted and made into another shape, and water flowing through a pipe into a tank or a well dug and its earth spread out.