Volume of 3D Shapes Flashcards

Grade 6 · Math · Flashcards

Key formulas and vocabulary for volume of 3D shapes in Grade 6.

Flashcards

Volume: The amount of 3D space inside a solid object, measured in cubic units
Rectangular prism V: V = l × w × h (length × width × height)
Cube V: V = s³ — multiply the side length by itself three times
General prism V: V = B × h — base area times height works for any prism
Cubic units: cm³, in³, m³, ft³ — volume units are always cubed
Find missing dimension: Divide volume by the other two dimensions — e.g. h = V ÷ (l×w)
V = 80 cm³, l=5, w=4 → h = ?: h = 80 ÷ (5×4) = 80 ÷ 20 = 4 cm
Volume vs Surface Area: V = inside (cubic units); SA = outside (square units)
Why 'cubic'?: You're stacking layers of unit squares — each layer is area, multiply by height to get 3D space
2×3×4 rectangular prism V: V = 2×3×4 = 24 cubic units
Cube with side 10 — V: V = 10³ = 1,000 cubic units (also called 1 kiloliter if in liters)
Base area (B): The area of the shape's bottom face — for a rectangle: B = l × w