Geometric Formulas Quiz

Study Notes

Geometric Formulas

Rectangle:
- Perimeter: P = 2l + 2w (where l = length and w = width)
- Area: A = lw
Square:
- Perimeter: P = 4s (where s = side length)
- Area: A = s²
Triangle:
- Angle Sum: A + B + C = 180°
- Area: A = ½bh (where b = base and h = height)
Right Triangle:
- Pythagorean Theorem: a² + b² = c² (where a and b are legs, and c is the hypotenuse)
Isosceles Triangle:
- Has two equal sides and two equal angles.
Equilateral Triangle:
- Has three equal sides and three equal angles.
Circle:
- Circumference: C = 2πr (where r = radius)
- Area: A = πr²
Rectangular Solid (Cuboid):
- Volume: V = LWH (where L = length, W = width, and H = height)
- Surface Area: S = 2LW + 2LH + 2WH
Trapezoid:
- Area: A = ½h(b₁ + b₂) (where h = height and b₁ and b₂ are bases)
Parallelogram:
- Area: A = bh (where b = base and h = height)
Right Circular Cylinder:
- Volume: V = πr²h (where r = radius and h = height)
- Surface Area: SA = 2πr² + 2πrh
Sphere:
- Volume: V = 4/3πr³ (where r = radius)
- Surface Area: SA = 4πr²

Other Formulas

Temperature Conversion:
- Celsius to Fahrenheit: C = 9/5(F - 32)
Distance, Rate, Time:
- d = rt (where d = distance, r = rate, and t = time)
Simple Interest:
- I = Prt (where I = interest, P = principal, r = rate, and t = time in years)
Percent:
- p = br (where p = percent, b = base, and r = rate)

Description

Test your knowledge of various geometric formulas including those for rectangles, triangles, circles, and more. This quiz covers essential concepts such as perimeter, area, and volume across different shapes. Challenge yourself and see how well you understand geometry!