surface area

简明释义

表面面积

英英释义

例句

1.To paint the walls, you need to know the surface area of each wall.

要粉刷墙壁，你需要知道每面墙的表面积。

2.The surface area of a sphere can be calculated using the formula 4πr².

球的表面积可以使用公式4πr²计算。

3.In biology, the surface area of cells affects their ability to absorb nutrients.

在生物学中，细胞的表面积影响它们吸收养分的能力。

4.Increasing the surface area of a catalyst can enhance its effectiveness.

增加催化剂的表面积可以提高其有效性。

5.The surface area of the table was covered with a beautiful cloth.

桌子的表面积上铺满了美丽的布料。

作文

The concept of surface area is fundamental in various fields, including mathematics, physics, and engineering. In simple terms, surface area refers to the total area that the surface of a three-dimensional object occupies. Understanding surface area is crucial for many practical applications, such as calculating the amount of paint needed to cover a wall or determining how much material is required to create a container.To illustrate the importance of surface area, let’s consider a common object: a cube. A cube has six identical square faces. To find the surface area of a cube, we can use the formula: surface area = 6 * (side length)^2. For example, if one side of the cube measures 2 meters, the surface area would be 6 * (2^2) = 24 square meters. This calculation is essential for builders and architects who need to know how much surface they will be working with.Another interesting example is the sphere. The formula for the surface area of a sphere is given by surface area = 4 * π * (radius)^2. Suppose we have a sphere with a radius of 3 meters; its surface area would be approximately 113.1 square meters. This information is particularly useful in fields like physics, where the surface area of a sphere can affect heat transfer and other physical properties.In addition to geometric shapes, the concept of surface area becomes even more significant in real-world applications. For instance, in biology, the surface area of cells plays a crucial role in their ability to absorb nutrients and expel waste. Cells need to maintain a large enough surface area relative to their volume to function effectively. This is why many cells are not spherical but rather elongated or flattened, maximizing their surface area to volume ratio.Moreover, in the field of chemistry, the surface area of solids influences reaction rates. A larger surface area allows for more interaction between reactants, leading to faster reactions. This principle is often applied in catalysts, where increasing the surface area of a substance can enhance its effectiveness in speeding up chemical reactions.In summary, understanding the concept of surface area is vital across numerous disciplines. It not only helps in mathematical calculations but also has practical implications in everyday life. Whether it’s determining how much paint to buy or understanding biological functions, surface area plays an integral role. As we continue to explore and learn about various fields, the significance of surface area will undoubtedly remain a key topic of interest and study.In conclusion, the surface area of an object is more than just a numerical value; it represents a critical aspect of how that object interacts with its environment. By mastering the calculations and implications of surface area, we can better understand the world around us and apply this knowledge effectively in our daily lives.

表面面积的概念在数学、物理和工程等多个领域都是基础。在简单的术语中，表面面积指的是三维物体表面所占据的总面积。理解表面面积对于许多实际应用至关重要，例如计算涂料覆盖墙壁所需的数量或确定制造容器所需的材料量。为了说明表面面积的重要性，让我们考虑一个常见的物体：立方体。立方体有六个相同的正方形面。要找到立方体的表面面积，我们可以使用公式：表面面积 = 6 * (边长)^2。例如，如果立方体的一条边长为2米，则其表面面积为6 * (2^2) = 24平方米。这个计算对建筑师和设计师来说是至关重要的，他们需要知道他们将要处理的表面面积。另一个有趣的例子是球体。球体的表面面积公式为表面面积 = 4 * π * (半径)^2。假设我们有一个半径为3米的球体；它的表面面积大约为113.1平方米。这些信息在物理学等领域尤为重要，因为球体的表面面积会影响热传递和其他物理特性。除了几何形状之外，表面面积的概念在现实世界的应用中变得更加重要。例如，在生物学中，细胞的表面面积在其吸收营养和排出废物的能力中起着关键作用。细胞需要保持足够大的表面面积与其体积的比例，以有效运作。这就是为什么许多细胞不是球形的，而是拉长或扁平的，以最大化它们的表面面积与体积比。此外，在化学领域，固体的表面面积影响反应速率。较大的表面面积允许反应物之间有更多的相互作用，从而导致反应速度加快。这个原理通常应用于催化剂，通过增加物质的表面面积可以提高其加速化学反应的有效性。总之，理解表面面积的概念在众多学科中至关重要。它不仅有助于数学计算，还有实际的日常生活应用。无论是确定购买多少油漆，还是理解生物功能，表面面积都扮演着不可或缺的角色。随着我们继续探索和学习各个领域，表面面积的重要性无疑将始终是一个值得关注和研究的主题。最后，物体的表面面积不仅仅是一个数值；它代表了该物体如何与其环境相互作用的一个关键方面。通过掌握表面面积的计算和含义，我们可以更好地理解周围的世界，并有效地将这些知识应用于我们的日常生活。