Dorchester 2 05-06-2025 Gamkit!

• ​G.GMD.1: Explain volume formulas and use them to solve problems.

• G.GMD.3: Use cross sections and rotations of 2D figures to describe solids.

• G.MG.1: Apply geometric concepts to modeling real-world objects.

• How do we use volume and surface area to model real-world scenarios?

• What kinds of 3D figures can be formed from rotating 2D shapes?

• How do careers in design, engineering, and technology use these concepts?

• Cross Section – A 2D shape resulting from slicing a 3D solid.

• Solid of Revolution – A 3D object formed by rotating a 2D figure around an axis.

• Volume – The amount of space inside a 3D object.

• Surface Area – Total area covering the outside of a 3D figure.

• Composite Figure – A shape made up of multiple simple solids.

📐 Volume Formulas

• Prism or Cylinder:
   V = Bh  or V = πr²h

• Cone:
    V = (1/3)πr²h

• Sphere:
    V = (4/3)πr³

• Hemisphere:
    V = (2/3)πr³

​📏 Surface Area Formulas

• Cone:
    SA = πrl + πr²

• Sphere:
    SA = 4πr²

• Cylinder:
    SA = 2πrh + 2πr²

• You’ll compete in a game using questions from Unit 11

• Each correct answer gives you energy or power in the game

• Accuracy matters more than speed — earn more by thinking carefully

🎯 Goal: Complete as many problems as possible and dominate the leaderboard!