Surface Area and Volume of 3-D Shapes Test Review

Ready to ace your geometry test on surface area and volume? This comprehensive review video covers 10 practice problems involving various 3D shapes, including cylinders, cones, pyramids, prisms, spheres, and hemispheres. We'll work through each problem step-by-step, focusing on exact answers and key formulas.

Whether you're struggling with composite solids or similar figures, this video will help you solidify your understanding of essential geometry concepts. Pause the video, try the problems on your own, and then check your solutions with detailed explanations!

In this video, you'll learn:

How to calculate surface area and volume for different 3D shapes.
Applying Pythagorean triples and special right triangles in geometry problems.
Working with regular polygons (hexagons, pentagons) to find base area.
Solving problems involving spheres, hemispheres, and composite solids.
Understanding ratios of volumes and surface areas for similar figures.
Timestamps:

0:00 Introduction to Surface Area and Volume Test Review
0:20 Problem 1: Surface Area and Volume of a Cylinder
2:40 Problem 2: Surface Area and Volume of a Cone
4:30 Problem 3: Surface Area and Volume of a Hexagonal Prism
7:40 Problem 4: Surface Area and Volume of a Pentagonal Pyramid
10:30 Problem 5: Volume of a Sphere Given Surface Area
12:00 Problem 6: Volume of a Composite Solid (Trapezoidal Prism with Cylinder Removed)
14:30 Problem 7: Comparing Volumes and Surface Areas of Similar Cones
16:00 Problem 8: Volume and Surface Area of a Hemisphere
17:50 Problem 9: Finding Volume of a Larger Cylinder Given Similar Cylinders
19:00 Problem 10: Equating Volumes of a Sphere and a Cylinder to Find Height
20:40 Conclusion & Next Steps
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