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圆柱的侧面积公式是2πrh。
The formula for the lateral surface area of a cylinder is 2πrh.
The area of the sides of a three-dimensional geometric figure, excluding the base(s).
计算圆锥的侧面积时,需要先知道母线长度和底面半径。
To calculate the lateral surface area of a cone, you need to know the slant height and the base radius first.
这个几何体的侧面积是底面积的两倍。
The lateral surface area of this geometric solid is twice the base area.
Commonly used in geometry and engineering to describe the surface area of cylindrical, conical, or prismatic objects without including the top and bottom faces.
To avoid confusion with total surface area, think of '侧面积' as the 'side-only' area. For a cylinder, it's the area of the curved part, not the circles on top and bottom.
Always exclude the base(s) when calculating lateral surface area. This is a common mistake in geometry problems.
The term '侧面积' is a compound word in Chinese, combining '侧面' (lateral side) and '积' (area). It directly translates to 'lateral surface area' in English, reflecting its geometric meaning.
1. In geometry, '侧面积' specifically refers to the area of the sides of a 3D shape, excluding the bases. For example, the lateral surface area of a cylinder does not include the top and bottom circles. 2. It is distinct from '总表面积' (total surface area), which includes all faces. 3. The term is widely used in academic and technical contexts, particularly in mathematics and engineering.