Original Prompt6.GM.4: Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials) and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. (E)
This learning resource focuses on calculating the volume of right rectangular prisms with fractional edge lengths. It introduces students to the formulas for volume calculation (V = l × w × h and V = B × h) and guides them through the process of finding volume using both theoretical and practical applications. The resource includes a worked example detailing the steps to convert mixed numbers to improper fractions and apply the volume formula, as well as practice problems that require students to find the volume of various real-world objects, such as an aquarium or a shipping box. Additionally, it explores visualizing volume with unit cubes to enhance understanding. The document concludes with a self-assessment and a challenge that involves calculating the volume of composite rectangular prisms, reinforcing students' skills in applying both volume formulas effectively. Overall, this resource aims to strengthen students' grasp of volume calculation with fractional lengths in a comprehensive manner, facilitating real-world problem-solving skills.