Volume of cubes and rectangular prisms

Learning Objectives Define volume as the amount of space a three-dimensional object occupies. Identify and distinguish between cubes and rectangular prisms based on their attributes. Understand and correctly use cubic units (e.g., cm³, m³) to express volume. Apply the formula $V = l \times w \times h$ to calculate the volume of rectangular prisms. Apply the formula $V = s \times s \times s$ (or $V = s^3$) to calculate the volume of cubes. Solve real-world problems involving the volume of cubes and rectangular prisms. Have you ever wondered how much popcorn fits in a box at the movies? 🍿 Or how much water a fish tank can hold? 🐠 In this lesson, you'll learn all about 'volume' – the amount of space inside three-dimensional shapes like cubes and rectangular pr...

TermDefinitionExample VolumeThe amount of three-dimensional space occupied by an object or substance.The volume of a shoebox is how much space is inside it for shoes. CubeA three-dimensional shape with six identical square faces. All its edges (sides) are the same length.A standard dice or a Rubik's Cube are examples of cubes. Rectangular PrismA three-dimensional shape with six rectangular faces. Opposite faces are identical.A brick, a cereal box, or a refrigerator are common examples of rectangular prisms. Length (l)The measurement of an object from one end to the other, typically the longest dimension of its base.The length of a classroom might be 10 meters. Width (w)The measurement of an object from side to side, perpendicular to its length.The width of a classroom might be 8 mete...

Volume of a Rectangular Prism $V = l \times w \times h$ To find the volume of a rectangular prism, multiply its length (l), width (w), and height (h). This formula tells you how many cubic units can fit inside the prism. Volume of a Cube $V = s \times s \times s$ or $V = s^3$ Since all sides of a cube are equal, you can find its volume by multiplying the length of one side (s) by itself three times. Volume using Base Area $V = B \times h$ (where $B$ is the area of the base) For any prism, you can find its volume by multiplying the area of its base ($B$) by its height ($h$). For a rectangular prism, the base is a rectangle, so $B = l \times w$.