Volume of cubes and rectangular prisms

Learning Objectives Define volume as the amount of space a 3D object occupies. Identify the length, width, and height of rectangular prisms and cubes. Explain what a cubic unit is and why it's used for volume. Apply the formula V = l × w × h to calculate the volume of rectangular prisms. Apply the formula V = s × s × s to calculate the volume of cubes. Solve real-world problems involving the volume of cubes and rectangular prisms. Correctly use cubic units (e.g., cm³, m³, in³) when stating volume measurements. Have you ever wondered how much water a swimming pool holds? 🏊‍♀️ Or how many toy blocks can fit inside a box? 🤔 In this lesson, you'll discover how to measure the 'space inside' 3D objects like boxes and rooms. This skill, called finding volum...

TermDefinitionExample VolumeThe amount of three-dimensional space that an object occupies or contains.The volume of a juice box tells you how much juice it can hold. Three-Dimensional (3D) ShapeA shape that has length, width, and height, meaning it takes up space in the real world.A shoebox, a ball, or a pyramid are all 3D shapes. Length (l)The measurement of how long an object is, usually the longest side of its base.The length of a classroom might be 10 meters. Width (w)The measurement of how wide an object is, usually the shorter side of its base.The width of a classroom might be 8 meters. Height (h)The measurement of how tall an object is, from its base to its top.The height of a classroom might be 3 meters. Cubic UnitA cube with sides of 1 unit (e.g., 1 cm, 1 inch), used as the stand...

Volume of a Rectangular Prism $V = l \times w \times h$ To find the volume of any rectangular prism, multiply its length (l), by its width (w), and then by its height (h). Remember to use cubic units for your answer. Volume of a Cube $V = s \times s \times s$ or $V = s^3$ A cube is a special rectangular prism where all sides (length, width, and height) are equal. To find its volume, multiply the side length (s) by itself three times. Use cubic units for your answer. Volume using Base Area $V = B \times h$ Sometimes, you might be given the area of the base (B) of a rectangular prism. In this case, you can find the volume by multiplying the base area by the height (h). Remember that B = l × w.