Volume

• Volume of cylinder

  Formula: area=πr²(finding radius)

  Formula: acircle=πr²(finding the radius)
• Rectangular Solid or Cuboid V = l × w × h

  l= Length

  w = Width h = Height
• Cube V = a3

  a = Length of edge or side
• Cylinder V = πr2h

  r = Radius of the circular base h = Height
• Prism V = B × h B = Area of base,

  (B = side2 or length.breadth) h = Height
• SphereV = (4⁄3)πr3

  r = Radius of the sphere
• Pyramid V = (1⁄3) × B × h B = Area of the base, h = Height of the pyramid
• Square or Rectangular Pyramid V = (1⁄3) × l × w × h l = Length of the base, w = Width of base, h = Height (base to tip)
• Pyramids are three dimensional geometric shapes where the base is a polygon and all other side are triangles that met at of apex or vertex
• The height of pyramid is perpendicular height which is the distance from apex or vertex to the base of the pyramid
• A rectangular pyramid is a three dimensional geometric shape that has a regular base and four triangular faces (lateral faces) that are joined at the top by a vertex or apex
• Rectangular pyramid

  Solid figure that has a rectangular base and four triangular faces that meet at a vertex
• Square pyramid

  • A rectangular pyramid where the length and width of the base are equal
• Volume of a square pyramid

  1/3 (s^2 x h)
• A square is a rectangle with four equal sides
• A rectangular pyramid is a three-dimensional figure with a rectangular base and triangular faces
• Three rectangular pyramids can fill one rectangular prism with the same base and height
• Rectangular prism

  A three-dimensional figure with a rectangular base and rectangular faces
• Unit used in the problem

  • Unit
• Volume of the pyramid

  10 in³
• Volume of a pyramid

  1/3 (l x w x h)
• Dimensions of the pyramid

  • 8 cm x 6 cm x 12 cm
• Volume of the pyramid = 192 cm³
• Dimensions of the square pyramid

  • s = 5, h = 4
• Volume of the square pyramid = 213,278.6 cm³
• Composite figure

  A figure made up of multiple geometric shapes
• Dimensions of the composite figure

  • L = 4 cm, W = 3 cm, H = 2 cm
• Volume of the prism

  L x W x H
• Volume of the prism = 24 cm³
• Volume of the pyramid

  1/3 (L x W x H)
• Volume of the pyramid = 8 cm³
• Total volume of the composite figure = 60 cm³