Podcast
Questions and Answers
What is the volume formula for a prism?
What is the volume formula for a prism?
- v = l × w × h (correct)
- v = π × r² × h
- v = 1/3 × π × r² × h
- v = 1/3 × l × w × h
What is the volume formula for a pyramid?
What is the volume formula for a pyramid?
- v = 4/3 × π × r³
- v = π × r² × h
- v = l × w × h
- v = 1/3 × l × w × h (correct)
What is the volume formula for a cylinder?
What is the volume formula for a cylinder?
- v = 1/3 × π × r² × h
- v = π × r² × h (correct)
- v = 1/3 × l × w × h
- v = 4/3 × π × r³
What is the volume formula for a cone?
What is the volume formula for a cone?
What is the volume formula for a sphere?
What is the volume formula for a sphere?
Flashcards are hidden until you start studying
Study Notes
3D Shapes - Volume Formulas
-
Prism: Volume calculated by multiplying length (l), width (w), and height (h). Formula: v = l × w × h, commonly used for rectangular prisms but applicable to any prism type.
-
Pyramid: Volume is one-third of the base area multiplied by height. Formula: v = 1/3 × l × w × h, showing how pyramids compress space as height increases relative to base.
-
Cylinder: Volume determined by the area of the circular base multiplied by the height. Formula: v = π × r² × h, where r is the radius, emphasizing the importance of circular geometry.
-
Cone: Similar to pyramids, their volume equals one-third of the base area times height. Formula: v = 1/3 × π × r² × h, highlighting the relationship between conic sections and circles.
-
Sphere: Volume representation of a perfectly round object. Formula: v = 4/3 × π × r³, illustrating how volume expands cubically with radius, demonstrating key spherical properties.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
