📅  最后修改于: 2021-01-07 01:52:40             🧑  作者: Mango
在几何中,三维形状是具有三维的实体。尺寸包含对象的长度,宽度和高度。 3D形状的一些示例包括立方体,圆锥体,圆柱体,金字塔,球体等。我们找到这些形状的体积,以便可以测量物体存储液体,气体等所占用的空间。存在不同的体积公式为不同的形状。通过使用这些公式,我们可以找到形状的体积。
在本节中,我们将学习所有三维形状的体积公式。
对象占据的空间量称为该对象的体积,其中对象是3D对象。我们找到用于测量物体或容器容量的体积。通过使用公式,我们可以轻松找到任何3D形状的体积。如果3D形状很复杂,我们将使用积分计算来找到体积。
该体积由字母V表示。我们以立方单位或3为单位测量体积。在下表中,我们将所有体积公式与该图进行了汇总,以更好地理解。
Shape | Figure | Volume Formula | Variables | Constant |
---|---|---|---|---|
Cube | V=a3 When diameter is given: |
a: is the length of the side d: is the length of the diameter |
– | |
Cone | When slant height is given: |
r: is the radius h: is the perpendicular height l: is the slant height |
π: is a constant whose value is 3.14 or 22/7 | |
Cylinder | V=πr2 h | r: is the radius h: is the height |
π: is a constant whose value is 3.14 or 22/7 | |
Hollow Cylinder | V=πh(r22-r12) | r1: is the internal radius r2: is the external radius h: is the height of the cylinder D: is the external diameter d: is the internal diameter |
π: is a constant whose value is 3.14 or 22/7 | |
Cuboid | V=l×w×h | l: is the length w: is the width h: is the height |
– | |
Sphere | When diameter is given: When circumference is given: When area is given: |
r: is the radius d: is the diameter of the sphere C: is the circumference of the sphere A: is the area of the sphere |
π: is a constant whose value is 3.14 or 22/7 | |
Hemisphere | r: is the radius | π: is a constant whose value is 3.14 or 22/7 | ||
Pyramid | l: is the base length w: is the base width h: is the height of the pyramid |
– | ||
Rectangular Prism | V=l×w×h | l: is the length w: is the width h: is the height |
– | |
Triangular Prism | l: is the length w: is the width h: is the height |
– | ||
Ellipsoid | a, b, and c: are semi-axes of ellipsoid | π: is a constant whose value is 3.14 or 22/7 | ||
Tetrahedron | a: is edge of tetrahedron | – |