Prism (Geometry)
See how to find the surface area/volume of a right prism.
5 examples and their solutions.
Prism
Definition
a pair of polygon bases
and quadrilateral lateral faces (side faces).
Bases: congruent and parallel
Right Prism
Definition
whose lateral faces are all rectangles
and are perpendicular to the bases.
Right Prism: Surface Area
Formula
A = 2B + Ph
= 2⋅(base area) + (lateral area)
Example
Surface area?
Solution B = 7⋅5 - [1]
= 35
P = 2(7 + 5) - [2]
= 2⋅12
= 24
h = 8
A = 2⋅35 + 24⋅8
= 70 + 192
= 262
[2]
Perimeter of the base: rectangle
Close
Example
Surface area?
Solution B = √34⋅42 - [1]
= √3⋅4
= 4√3
P = 3⋅4 - [2]
= 12
h = 7
A = 2⋅4√3 + 12⋅7
= 8√3 + 84
= 84 + 8√3
[2]
Perimeter of the base: equilateral triangle
Close
Right Prism: Volume
Formula
V = Bh
Example
Example
Volume?
Solution Example
Volume of the box?
Solution ↓
B = 11⋅5
= 55
h = 3
V = 55⋅3
= 165
Close