Volume of 3D Figures Flashcards

Grade 8 · Math · Flashcards

Master volume formulas for all major 3D shapes.

Flashcards

Volume of a cube: V = s³; s is the side length
Volume of a rectangular prism: V = lwh (length × width × height)
Volume of a cylinder: V = πr²h; r is base radius, h is height
Volume of a cone: V = (1/3)πr²h; one-third of the cylinder with same base and height
Volume of a sphere: V = (4/3)πr³; r is the radius
π (pi): ≈ 3.14159; used in formulas involving circles
Radius: Half of the diameter; use this in volume formulas, not diameter
Height: The perpendicular distance between the two bases (or base and apex) of a solid
Cubic units: Volume units: cm³, m³, in³, ft³
Cone vs. cylinder relationship: Cone = (1/3) × Cylinder when they share the same radius and height
Prism: A solid with two congruent parallel bases; V = (base area) × height
Sphere: A perfectly round solid in 3D; every point on the surface is the same distance from the center