# 12.3: Geometric Formulas

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## Table C1 - 2 Dimensions

Name Shape Formulas
Rectangle Perimeter: P = $$2l + 2w$$

Area: A = $$lw$$

Square Perimeter: P = 4s

Area: A = s2

Triangle Perimeter: P = a + b + c

Area: A = $$\dfrac{1}{2}$$bh

Sum of Angles: A + B + C = 180°

Right Triangle Pythagorean Theorem: a2 + b2 = c2

Area: A = $$\dfrac{1}{2}$$ab

Circle Circumference: C = 2$$\pi$$r or C = $$\pi$$d

Area: A = $$\pi$$r2

Parallelogram Perimeter: P = 2a + 2b

Area: A = bh

Trapezoid Perimeter: P = a + b + c + B

Area: A = $$\dfrac{1}{2}$$(B + b)h

## Table C2 - 3 Dimensions

Name Shape Formulas
Rectangular Solid Volume: V = $$lwh$$

Surface Area: SA = $$2lw + 2wh + 2hl$$

Cube Volume: V = s3

Surface Area: SA = 6s2

Cone Volume: V = $$\dfrac{1}{3} \pi r^{2} h$$

Surface Area: SA = $$\pi r^{2} + \pi r \sqrt{h^{2} + r^{2}}$$

Sphere Volume: V = $$\dfrac{4}{3} \pi r^{3}$$

Surface Area: SA = $$4 \pi r^{2}$$

Right Circular Cylinder Volume: V = $$\pi r^{2} h$$

Surface Area: SA = $$2 \pi r^{2} + 2 \pi rh$$