Shortcut Methods

Shortcut Methods and Tricks to Solve Numerical Examples

For JEE Main:

  1. Total Leaf Area:

    • Shortcut: Multiply the number of leaves by the leaf area per leaf.
  2. Volume of a Cylinder (Tree Trunk):

    • Trick: Consider the trunk as a cylinder and use the formula for the volume of a cylinder: V=πr2h, where r is the radius of the trunk and h is the height of the trunk.
  3. Total Leaf Area with Leaf Area Index (LAI):

    • Shortcut: Multiply the ground area by the leaf area index.

For CBSE Board:

  1. Area of a Rectangle (Leaf):

    • Formula: A=length×width
  2. Radius of a Circle (Tree Trunk):

    • Formula: r=circumference÷2π. Where r is the radius and circumference is the length of the circumference of the circular trunk.
  3. Leaf Area Ratio (LAR):

    • Shortcut: Divide the total leaf area by the height of the plant.

For Additional Numerical Examples:

  1. Total Leaf Area with Branches and Leaves:

    • Shortcut: Multiply the number of branches by the number of leaves per branch and then multiply by the leaf area per leaf.
  2. Volume of a Cylinder (Tree Trunk):

    • Trick: Consider the trunk as a cylinder and use the formula for the volume of a cylinder: V=πr2h, where r is the radius of the trunk, and h is the height of the trunk.
  3. Total Leaf Area with Leaf Area Index (LAI):

    • Shortcut: Multiply the ground area by the leaf area index.