Volume is the amount of space occupied by a 3D object. It is measured in cubic units, such as cubic meters (m^{3}) or cubic centimeters (cm^{3}).

Here are some common formulas for calculating the volume of different 3D shapes:

**Cube:**V = s^{3}, where s is the length of a side of the cube.**Rectangular Prism:**V = l * w * h, where l is the length, w is the width, and h is the height of the prism.**Cylinder:**V = πr^{2}h, where r is the radius of the base and h is the height of the cylinder.**Sphere:**V = (4/3)πr^{3}, where r is the radius of the sphere.

Volume can be measured in various units, depending on the context. Some common units of volume include cubic centimeters (cm^{3}), cubic meters (m^{3}), liters (L), and milliliters (mL).

Calculate the volume of the following objects:

- A cube with side length 5 cm.
- A rectangular prism with length 10 cm, width 4 cm, and height 3 cm.
- A cylinder with radius 2 cm and height 8 cm.
- A sphere with radius 6 cm.

Understanding volume and how to calculate it is important for various real-world applications, such as measuring the capacity of containers, determining the amount of material needed for construction, and more.

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.