Volume of figures Volume of a figure Volume


































- Slides: 34
Volume of figures:
Volume of a figure: • Volume is the amount of space to fill something up.
Volume of a figure: • Volume is the amount of space to fill something up. • Volume is always 3 dimensional.
Comparison between perimeter, area, and volume:
Comparison between perimeter, area, and volume: • Perimeter:
Comparison between perimeter, area, and volume: • Perimeter: – Length around.
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional.
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional. • Area:
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional. • Area: – The amount that covers.
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional. • Area: – The amount that covers. – Two dimensional.
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional. • Area: – The amount that covers. – Two dimensional. • Volume:
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional. • Area: – The amount that covers. – Two dimensional. • Volume: – The amount that fills.
Comparison between perimeter, area, and volume: • Perimeter: – Length around. – One dimensional. • Area: – The amount that covers. – Two dimensional. • Volume: – The amount that fills. – Three dimensional.
Comparison between perimeter, area, and volume:
Definitions: • Cube:
Definitions: • Cube: – Polyhedron with six congruent square faces.
Definitions: • Cube: – Polyhedron with six congruent square faces. – In other words:
Definitions: • Cube: – Polyhedron with six congruent square faces. – In other words: – Six sides that are all the same shape and size.
Definitions: • Cube: – Polyhedron with six congruent square faces. – In other words: – Six sides that are all the same shape and size. • Rectangular prism:
Definitions: • Cube: – Polyhedron with six congruent square faces. – In other words: – Six sides that are all the same shape and size. • Rectangular prism: – Polyhedron with six sides all perpendicular to adjoining sides and containing four right angels.
Definitions: • Cube: – Polyhedron with six congruent square faces. – In other words: – Six sides that are all the same shape and size. • Rectangular prism: – Polyhedron with six sides all perpendicular to adjoining sides and containing four right angels. – In other words:
Definitions: • Cube: – Polyhedron with six congruent square faces. – In other words: – Six sides that are all the same shape and size. • Rectangular prism: – Polyhedron with six sides all perpendicular to adjoining sides and containing four right angels. – In other words: – Six sides, each perpendicular to the sides they touch.
Volumes: • Cube: • V=S • S = Side • Rectangular Prism: • V = BH • B = Area of the base. • H = Height.
Volumes:
Find the perimeter and area:
Find the perimeter and area:
Find the volume:
Find the volume:
Find the volume:
Volume addition: • To find the total volume of a figure, find the sum of the volume of each portion.
Volume subtraction: • To find the total volume of a figure with missing portions find the volume of the whole area and subtract the volume of the missing portions.
Find the volume:
Find the volume:
Assignment • Pages