# 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⋅4

^{2}- [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

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