🔺 棱锥体积计算器Volume of a Pyramid Calculator
计算矩形底（含正方形）或正多边形底直棱锥的体积 V = 底面积 × 高 ÷ 3，并给出底面积、斜高、侧面积和总表面积。Work out the volume V = base area × height ÷ 3 of a right pyramid with a rectangular (or square) base or a regular-polygon base, plus the base area, slant height, lateral area and total surface area.
使用说明与常见问题How-to & FAQ
「棱锥体积计算器」是什么？What is the Volume of a Pyramid Calculator tool?
计算矩形底（含正方形）或正多边形底直棱锥的体积 V = 底面积 × 高 ÷ 3，并给出底面积、斜高、侧面积和总表面积。Work out the volume V = base area × height ÷ 3 of a right pyramid with a rectangular (or square) base or a regular-polygon base, plus the base area, slant height, lateral area and total surface area.
如何使用「棱锥体积计算器」？How do I use the Volume of a Pyramid Calculator tool?
在「棱锥体积计算器」中，填写「底面形状」、「底面长」、「底面宽」、「边数 n」、「边长」等参数，结果会随输入实时计算并显示在下方。In the Volume of a Pyramid Calculator: Fill in "Base shape", "Base length", "Base width", "Number of sides n", "Side length"; results are recalculated instantly as you type.
棱锥体积公式是什么？What is the pyramid volume formula?
V = 底面积 × 高 ÷ 3，对任何底面形状都成立；高是顶点到底面的垂直距离，不是斜高。矩形底面积 = 长 × 宽，正 n 边形底面积 = n × 边长 × 边心距 ÷ 2，边心距 = 边长 ÷ (2·tan(π/n))。V = base area × height ÷ 3 for any base shape; the height is the perpendicular distance from the apex to the base, not the slant height. A rectangular base has area length × width; a regular n-gon has area n × side × apothem ÷ 2, with apothem = side ÷ (2·tan(π/n)).
斜高和表面积怎么算？How are slant height and surface area found?
直棱锥（顶点在底面中心正上方）每个侧面是三角形，斜高 = √(底面中心到该边的距离² + 高²)；侧面积 = 各侧面三角形面积之和，总表面积 = 侧面积 + 底面积。斜棱锥不适用。For a right pyramid (apex directly above the centre of the base), each face is a triangle with slant height = √(distance from the base centre to that edge² + height²). Lateral area is the sum of the face triangles, and total surface area adds the base. Oblique pyramids are not covered.
默认值是什么？What are the defaults?
默认的 6 × 6 底、高 4（体积 48）只是示例。The default 6 × 6 base with height 4 (volume 48) is only an example.
计算精度如何？How precise are the results?
「棱锥体积计算器」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Volume of a Pyramid Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「棱锥体积计算器」免费吗？需要注册吗？Is the Volume of a Pyramid Calculator free? Do I need an account?
「棱锥体积计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Volume of a Pyramid Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.