frustum of a pyramid

简明释义

截棱锥

英英释义

A frustum of a pyramid is the portion of a pyramid that lies between two parallel planes cutting it, typically resulting in a truncated shape with a smaller base on top and a larger base at the bottom.

金字塔的截头体是指位于两个平行面之间的金字塔部分，通常形成一个截断的形状，上部有一个较小的底面，下部有一个较大的底面。

例句

1.In geometry class, we learned how to calculate the volume of a frustum of a pyramid (金字塔的截头体).

在几何课上，我们学习了如何计算frustum of a pyramid（金字塔的截头体）的体积。

2.When designing the garden, I used a frustum of a pyramid (金字塔的截头体) as a model for the flower bed.

在设计花园时，我使用了一个frustum of a pyramid（金字塔的截头体）作为花坛的模型。

3.The sculpture in the park is a large frustum of a pyramid (金字塔的截头体) with intricate carvings.

公园里的雕塑是一个大型的frustum of a pyramid（金字塔的截头体），上面有精美的雕刻。

4.The cake was shaped like a frustum of a pyramid (金字塔的截头体), making it perfect for the party.

这个蛋糕的形状像一个frustum of a pyramid（金字塔的截头体），非常适合派对。

5.The architect designed a unique building that resembles a frustum of a pyramid (金字塔的截头体).

建筑师设计了一座独特的建筑，形状类似于一个frustum of a pyramid（金字塔的截头体）。

作文

The concept of a frustum of a pyramid is an intriguing topic in geometry that combines both simplicity and complexity. A frustum of a pyramid is formed when a pyramid is sliced parallel to its base, resulting in a solid shape with two parallel bases: one smaller and one larger. This geometric figure can be found in various real-life applications, such as in architecture, engineering, and even in everyday objects like cups and lampshades. Understanding the properties and calculations related to a frustum of a pyramid can provide insight into the design and functionality of these objects.To better understand the frustum of a pyramid, let’s consider its characteristics. The two bases of the frustum are similar shapes, typically squares or triangles, depending on the original pyramid. The height of the frustum is defined as the perpendicular distance between the two bases. Furthermore, the lateral surface area and volume of a frustum of a pyramid can be calculated using specific formulas. For instance, the volume can be determined by the formula V = (1/3) * h * (A1 + A2 + √(A1 * A2)), where A1 and A2 represent the areas of the two bases, and h is the height of the frustum.In practical applications, the frustum of a pyramid serves as a fundamental shape in construction. Many buildings and structures utilize this geometric form for aesthetic and structural purposes. For example, the roofs of some buildings may adopt the frustum shape to allow for better water drainage and to enhance the overall architectural design. Additionally, the frustum of a pyramid can be seen in the design of various furniture items, such as tables and vases, where the tapering shape adds elegance and stability.Moreover, understanding the frustum of a pyramid extends beyond just geometry; it also plays a crucial role in fields like physics and engineering. When designing objects that need to withstand certain forces, engineers must consider the weight distribution and stability provided by the shape of a frustum. This knowledge allows them to create safer and more efficient designs that meet the necessary standards.In conclusion, the frustum of a pyramid is more than just a geometric figure; it is a shape that holds significant importance in various fields, including architecture, engineering, and design. By exploring its properties, we gain a deeper appreciation for how this shape influences our environment and the objects we interact with daily. Whether it is in the form of a beautifully crafted piece of furniture or a well-designed building, the frustum of a pyramid remains a vital component of our spatial understanding and creativity.

金字塔的截头体是一个有趣的几何学主题，它结合了简单性和复杂性。金字塔的截头体是在金字塔平行切割其底部时形成的，结果是一个具有两个平行底面的固体形状：一个较小，一个较大。这个几何图形可以在各种现实生活应用中找到，例如建筑、工程，甚至日常物品如杯子和灯罩。理解与金字塔的截头体相关的属性和计算，可以提供对这些物体设计和功能的洞察。为了更好地理解金字塔的截头体，让我们考虑它的特征。截头体的两个底面是相似的形状，通常是正方形或三角形，具体取决于原始金字塔。截头体的高度定义为两个底面之间的垂直距离。此外，金字塔的截头体的侧面积和体积可以使用特定的公式进行计算。例如，体积可以通过公式V = (1/3) * h * (A1 + A2 + √(A1 * A2))来确定，其中A1和A2代表两个底面的面积，h是截头体的高度。在实际应用中，金字塔的截头体作为建筑中的基本形状发挥着重要作用。许多建筑和结构利用这一几何形式以达到美观和结构的目的。例如，一些建筑的屋顶可能采用截头体形状，以便更好地排水，并增强整体建筑设计的美感。此外，金字塔的截头体可以在各种家具项目的设计中看到，例如桌子和花瓶，其中逐渐收窄的形状增加了优雅性和稳定性。此外，理解金字塔的截头体不仅限于几何学；它在物理学和工程等领域也发挥着关键作用。在设计需要承受某些力量的物体时，工程师必须考虑形状所提供的重量分布和稳定性。这种知识使他们能够创建更安全和更高效的设计，以满足必要的标准。总之，金字塔的截头体不仅仅是一个几何图形；它是一个在建筑、工程和设计等多个领域具有重大意义的形状。通过探索其属性，我们对这种形状如何影响我们的环境和我们每天互动的物体有了更深的欣赏。无论是精美的家具作品还是设计良好的建筑，金字塔的截头体仍然是我们空间理解和创造力的重要组成部分。