Conversions and Calculating Perimeter

Conversions Between Units

• Length:
  • 1 meter (m) = 100 centimeters (cm)
  • 1 meter (m) = 1000 millimeters (mm)
  • 1 kilometer (km) = 1000 meters (m)
• Capacity:
  • 1 liter (L) = 1000 milliliters (mL)
  • 1 kiloliter (kL) = 1000 liters (L)
• Mass:
  • 1 kilogram (kg) = 1000 grams (g)
  • 1 tonne = 1000 kilograms (kg)

Calculating Perimeter

• Perimeter: the distance around a shape
• Formulae:
  • Rectangle: P = 2(l + w), where l is length and w is width
  • Square: P = 4s, where s is side length
  • Triangle: P = a + b + c, where a, b, and c are side lengths
  • Circle: P = 2πr, where r is radius

Surface Area Formulas

• Surface Area: the total area of the surface of a 3D object
• Formulae:
  • Cube: SA = 6s^2, where s is side length
  • Rectangular Prism: SA = 2(lw + lh + wh), where l, w, and h are length, width, and height
  • Cylinder: SA = 2πr(h + r), where r is radius and h is height
  • Sphere: SA = 4πr^2, where r is radius

Conversions Between Units

• 1 meter is equal to 100 centimeters and 1000 millimeters
• A kilometer is equal to 1000 meters
• 1 liter is equal to 1000 milliliters
• 1 kiloliter is equal to 1000 liters
• A kilogram is equal to 1000 grams
• A tonne is equal to 1000 kilograms

Calculating Perimeter

• Perimeter is the distance around a shape
• The formula for the perimeter of a rectangle is P = 2(l + w)
• The formula for the perimeter of a square is P = 4s
• The formula for the perimeter of a triangle is P = a + b + c
• The formula for the perimeter of a circle is P = 2πr

Surface Area Formulas

• Surface area is the total area of the surface of a 3D object
• The formula for the surface area of a cube is SA = 6s^2
• The formula for the surface area of a rectangular prism is SA = 2(lw + lh + wh)
• The formula for the surface area of a cylinder is SA = 2πr(h + r)
• The formula for the surface area of a sphere is SA = 4πr^2