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 NETSDifferent types of nets of prisms.

REGULARIt is a prism that has a regular Cross Section, with equal edge lengths and equal angles.

IRREGULARIt is a prism that has an irregular Cross Section, with different edge lengths and angles.

RIGHT VS OBLIQUE PRISMSRight 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