2. WHAT ARE PRISMS?
● A solid object with identical ends.
● Has flat sides (no curves)
● Has a cross section.
3. 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
6. REGULAR
It is a prism that has a regular Cross Section, with equal edge lengths and
equal angles.
7. IRREGULAR
It is a prism that has an irregular Cross Section, with different edge lengths and
angles.
8. 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.
9. SURFACE AREA
b = area of a base
p = perimeter of a base
h = height of the prism
Surface Area
= 2(½ X 8 X 3) + [(8+5+5) X 12]
= 240 cm2
Area = 2b + ph
10. VOLUME
b = area of base
h = height
Example:
Volume = (½ X 8 X 3) X 12
= 144 cm3
Volume = bh
11. 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.
12. 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