prisms presentation
TRANSCRIPT
PRISMSBy: Lim Zia Huei, Ee Yun Shan, Nabila Hanim, Zoe, Afiqah Zariful, Kodaruth humairaa
WHAT ARE PRISMS?
● A solid object with identical ends.
● Has flat sides (no curves)
● Has a cross section.
HOW TO SOLVE PRISMS?
To solve prism we have to:
● Find out the surface area (2 X Area of base + perimeter of base X H)
● Volume of the prism
● Area & Volume of Cross Section
TYPES OF PRISMS
● Triangular● Rectangular● Pentagonal Prism● Hexagonal Prism
PRISMS NETS
Different types of nets of prisms.
REGULAR
It is a prism that has a regular Cross Section, with equal edge lengths and equal angles.
IRREGULAR
It is a prism that has an irregular Cross Section, with different edge lengths and angles.
RIGHT VS OBLIQUE PRISMS
Right Prism: It is a geometric solid that has a polygon as its base and vertical sides perpendicular to the base.Oblique Prism: The joining edges and faces are not perpendicular to the base faces.
SURFACE AREA
b = area of a basep = perimeter of a baseh = height of the prism
Surface Area = 2(½ X 8 X 3) + [(8+5+5) X 12]= 240 cm2
Area = 2b + ph
VOLUME
b = area of baseh = height
Example:Volume = (½ X 8 X 3) X 12
= 144 cm3
Volume = bh
EXAMPLE:
Area of cross-section= (7x12) - (3x4)= 84 - 12= 72 m2
Volume of prism= 72 x 5= 360 m3
The diagram shows a cross-section of a cuboid after a cube is cut out from it.
EXAMPLE:
Finding the volume of the oblique prism.
Volume of the oblique prism= [ ½ x (8+4) x 9 ] x 15= 54 x 15= 810 cm2