Volume
Volume is the amount of space that a substance or object occupies. It is a three-dimensional quantity, and is measured in cubic units, such as cubic meters (m3), cubic centimeters (cm3), or cubic feet (ft3).
Formulas for Calculating Volume
There are different formulas for calculating the volume of different geometric shapes:
- Rectangular Prism: The volume (V) of a rectangular prism is given by the formula V = l * w * h, where l is the length, w is the width, and h is the height of the prism.
- Cube: The volume of a cube is given by the formula V = s3, where s is the length of one side of the cube.
- Cylinder: The volume of a cylinder is given by the formula V = πr2h, where r is the radius of the base and h is the height of the cylinder.
- Sphere: The volume of a sphere is given by the formula V = (4/3)πr3, where r is the radius of the sphere.
Units of Volume
Volume can be measured using different units, depending on the context:
- For liquids and gases, volume is often measured in liters (L) or milliliters (mL).
- For solid objects, volume is measured in cubic units, as mentioned earlier.
Real-life Applications
Understanding volume is important in a wide range of real-life applications, such as calculating the amount of liquid in a container, determining the capacity of a reservoir, or designing packaging for products.
[Volume] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Third Grade. Solids and Faces
Study Guide
Solids and Faces 
Worksheet/Answer key
Solids and Faces Worksheet/Answer key
Solids and Faces Worksheet/Answer key
Solids and Faces Worksheet/Answer key
3D Solids Worksheet/Answer key
3D Space
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.
Use visualization, spatial reasoning, and geometric modeling to solve problems.
Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.