📜  体积公式

📅  最后修改于: 2021-01-07 01:52:40             🧑  作者: Mango

体积公式

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 Volume Formula V=a3
When diameter is given:
Volume Formula
a: is the length of the side
d: is the length of the diameter
Cone Volume Formula Volume Formula
When slant height is given:
Volume Formula
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 Volume Formula 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 Volume Formula 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 Volume Formula V=l×w×h l: is the length
w: is the width
h: is the height
Sphere Volume Formula Volume Formula
When diameter is given:
Volume Formula
When circumference is given:
Volume Formula
When area is given:
Volume Formula
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 Volume Formula Volume Formula r: is the radius π: is a constant whose value is 3.14 or 22/7
Pyramid Volume Formula Volume Formula l: is the base length
w: is the base width
h: is the height of the pyramid
Rectangular Prism Volume Formula V=l×w×h l: is the length
w: is the width
h: is the height
Triangular Prism Volume Formula Volume Formula l: is the length
w: is the width
h: is the height
Ellipsoid Volume Formula Volume Formula a, b, and c: are semi-axes of ellipsoid π: is a constant whose value is 3.14 or 22/7
Tetrahedron Volume Formula Volume Formula a: is edge of tetrahedron