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 Don't forget to like this video, subscribe to Mario's Math Tutoring for more math help, and leave a comment if you have any questions! #SurfaceArea #Volume #Geometry #3DShapes #MathReview #Cylinders #Cones #Pyramids #Prisms #Spheres #Hemispheres #MathTutoring #GeometryTest #HighSchoolMath #ExactAnswers #MathProblems ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)    / @mariosmathtutoring