表面积
这个立方体的表面积是多少？
What is the surface area of this cube?
The total area of all the surfaces of a three-dimensional object.
计算圆柱体的表面积需要考虑侧面积和两个底面积。
Calculating the surface area of a cylinder involves considering the lateral surface area and the areas of the two bases.
这个金字塔的表面积包括四个三角形侧面和一个正方形底面。
The surface area of this pyramid includes four triangular sides and one square base.
Commonly used in geometry, architecture, and engineering to describe the extent of an object's exterior.
Related Phrases
Pro Tip
Remembering the Difference Between Surface Area and Volume
Think of surface area as the 'skin' of an object (measured in square units like cm²), while volume is the 'space inside' (measured in cubic units like cm³).
Gold Rule
Surface Area Formula Application
For composite shapes, break them down into simpler components (e.g., cubes, cylinders) and sum their individual surface areas, subtracting any overlapping or shared areas.
Word Origin
Composed of '表面' (biǎo miàn, meaning 'surface' or 'exterior') and '积' (jī, meaning 'area' or 'measure'). The term emerged in modern Chinese mathematical terminology to describe the two-dimensional measurement of three-dimensional objects' exteriors.
Usage Notes
Primarily used in mathematical and scientific contexts. Avoid confusion with '体积' (tǐ jī, volume), which measures the space inside an object.