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Watch First β€” Math Antics - Perimeter

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Perimeter, Area, & Volume

Why This Matters for Nursing: Calculating wound surface area, determining body surface area (BSA) for chemotherapy dosing, or understanding the volume of fluid in containersβ€”geometry has real healthcare applications.

What You Need to Know

  • Perimeter: The distance AROUND a shape (1D - measured in units like cm, m)
  • Area: The space INSIDE a 2D shape (measured in square units like cmΒ², mΒ²)
  • Volume: The space INSIDE a 3D shape (measured in cubic units like cmΒ³, mΒ³)

🧠 Memory Trick

Perimeter = "Perimeter walks the border" (around the edge)

Area = "Area fills the inside" (square units because you're covering a surface)

Volume = "Volume fills the box" (cubic units because you're filling 3D space)

For rectangles: P = 2L + 2W, A = L Γ— W


Key Formulas

Rectangles & Squares

Measurement Rectangle Square
Perimeter P = 2L + 2W P = 4s
Area A = L Γ— W A = sΒ²

Triangles

Measurement Formula
Perimeter P = a + b + c (all sides)
Area A = Β½ Γ— base Γ— height

Circles

Measurement Formula
Circumference C = 2Ο€r = Ο€d
Area A = Ο€rΒ²

3D Shapes

Shape Volume
Rectangular prism (box) V = L Γ— W Γ— H
Cube V = sΒ³
Cylinder V = Ο€rΒ²h

Ο€ β‰ˆ 3.14 (or use 22/7)

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