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Friday 03 October 2025 04:57:46 GMT
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The volume formula depends on the 3D shape, but a general form is Volume = Base Area × Height. For a rectangular prism (a box), it's V = length × width × height. For a sphere, it's V = 4/3πr³, and for a cylinder, it's V = πr²h.  Common Volume Formulas Rectangular Prism (Box): \(V=lwh\)\(l\) = length\(w\) = width\(h\) = height Cube: \(V=s^{3}\)\(s\) = length of one side Cylinder: \(V=\pi r^{2}h\)\(r\) = radius of the base\(h\) = height Sphere: \(V=\frac{4}{3}\pi r^{3}\)\(r\) = radius of the sphere Cone: \(V=\frac{1}{3}\pi r^{2}h\)\(r\) = radius of the base\(h\) = height  How to Use the Formulas  - Identify the shape: Determine the geometric shape you are measuring (e.g., rectangular prism, sphere). - Find the dimensions: Measure the required dimensions, such as length, width, height, or radius. Apply the formula: Plug the dimensions into the correct formula for that shape. Calculate the volume: Perform the necessary calculations to find the volume.  Units Volume is measured in cubic units, such as cubic meters (\(m^{3}\)), cubic centimeters (\(cm^{3}\)), or cubic inches (\(in^{3}\)). Make sure all your measurements are in the same units before you calculate. #mathhelp #mathstrick #solvemathswithify #volumeformula #math
The volume formula depends on the 3D shape, but a general form is Volume = Base Area × Height. For a rectangular prism (a box), it's V = length × width × height. For a sphere, it's V = 4/3πr³, and for a cylinder, it's V = πr²h.  Common Volume Formulas Rectangular Prism (Box): \(V=lwh\)\(l\) = length\(w\) = width\(h\) = height Cube: \(V=s^{3}\)\(s\) = length of one side Cylinder: \(V=\pi r^{2}h\)\(r\) = radius of the base\(h\) = height Sphere: \(V=\frac{4}{3}\pi r^{3}\)\(r\) = radius of the sphere Cone: \(V=\frac{1}{3}\pi r^{2}h\)\(r\) = radius of the base\(h\) = height  How to Use the Formulas  - Identify the shape: Determine the geometric shape you are measuring (e.g., rectangular prism, sphere). - Find the dimensions: Measure the required dimensions, such as length, width, height, or radius. Apply the formula: Plug the dimensions into the correct formula for that shape. Calculate the volume: Perform the necessary calculations to find the volume.  Units Volume is measured in cubic units, such as cubic meters (\(m^{3}\)), cubic centimeters (\(cm^{3}\)), or cubic inches (\(in^{3}\)). Make sure all your measurements are in the same units before you calculate. #mathhelp #mathstrick #solvemathswithify #volumeformula #math

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