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3D Shapes - Volume Formulas Quiz

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Questions and Answers

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?

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?

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?

<p>v = 1/3 × π × r² × h</p> Signup and view all the answers

What is the volume formula for a sphere?

<p>v = 4/3 × π × r³</p> Signup and view all the answers

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.

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Description

Test your knowledge of volume formulas for 3D shapes with this flashcard quiz. From prisms to spheres, challenge yourself to remember the calculations needed to find the volume of these geometric figures. Perfect for students looking to reinforce their understanding of geometry concepts.