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Perimeter, Area, Surface Area and Volume | Le périmètre, l’aire, l’aire totale de la surface et le volume


The perimeter of a shape is the length of the distance around a shape or the boundary of a shape. The perimeter of a polygon is the sum of the lengths of all its sides. The formulae to calculate the perimeter (P) | le périmètre (P) are:

Geometric Figure | La figure géométrique

Perimeter (P)

Le périmètre (P)

Square | Un carré


/lookandlisten/mathematics/measurement/audio/un_carre.mp3
P = 4s

s = length of side
P = 4c

c = longueur du côté

Rectangle | Un rectangle


/lookandlisten/mathematics/measurement/audio/un_rectangle.mp3
P = ℓ + ℓ + w + w
or
P = 2(ℓ + w)

= length
w = width
P = L + L + ℓ + ℓ
ou
P = 2(L + ℓ)

L = hauteur
= largeur

Trapezoid | Un trapèze


/lookandlisten/mathematics/measurement/audio/un_trapeze.mp3
P = a + b + c + d

a = length of side a
b = length of side b
c = length of side c
d = length of side d
P = a + b + c + d

a = longueur du côté a
b = longueur du côté b
c = longueur du côté c
d = longueur du côté d

Parallelogram | Un parallélogramme


/lookandlisten/mathematics/measurement/audio/un_parallelogramme.mp3
P = b + b + c + c
or
P = 2(b + c)

b = length of side b
c = length of side c
P = b + b + c + c
ou
P = 2(b + c)

b = longueur du côté b
c = longueur du côté c

Triangle | Un triangle


/lookandlisten/mathematics/measurement/audio/un_triangle.mp3
P = a + b + c

a = length of side a
b = length of side b
c = length of side c
P = a + b + c

a = longueur du côté a
b = longueur du côté b
c = longueur du côté c

Circle | Un cercle


/lookandlisten/mathematics/measurement/audio/un_cercle.mp3
C = 2πr
or
C = πd

C = circumference
π = pi (3.14159)
r = radius
d = diameter
C = 2πr
ou
C = πd

C = circonférence
π = pi (3.14159)
r = rayon
d = diamètre

Regular Polygon | Un polygone régulier


/lookandlisten/mathematics/measurement/audio/un_polygone_regulier.mp3
P = ns

n = number of sides
s = length of side
P = nc

n = nombre de côtés
c = longueur du côté

Irregular Polygon | Un polygone irrégulier


/lookandlisten/mathematics/measurement/audio/un_polygon_irreguilier.mp3
P = a + b + c + d + e + f + g + i

Perimeter = the distance around the geometric figure
P = a + b + c + d + e + f + g + i

Périmètre = la longueur du contour d’une figure géométrique

The area is the amount of surface a two-dimensional shape covers. It is measured in square units. The formulae to calculate the area (A) | l’aire (A) are:

Geometric Figure | La figure géométrique

Area (A)

L’aire (A)

Square | Un carré


/lookandlisten/mathematics/measurement/audio/un_carre-2.mp3
A = s2

s = length of side
A = c2

c = longueur du côté

Rectangle | Un rectangle


/lookandlisten/mathematics/measurement/audio/un_rectangle-2.mp3
A = ℓw

= length
w = width
A = Lℓ

L = hauteur
= largeur

Trapezoid | Un trapèze


/lookandlisten/mathematics/measurement/audio/un_trapeze-2.mp3
A = 
 (a + b)h 
 2

or

A = 
 1
(a + b)h 
 2 

a = length of side a
b = length of side b
h = height
A = 
 (a + b)h 
 2
ou
A = 
 1
(a + b)h 
 2 

a = longueur du côté a
b = longueur du côté b
h = hauteur

Parallelogram | Un parallélogramme


/lookandlisten/mathematics/measurement/audio/un_parallelogramme-2.mp3
A = bh

b = length of base
h = height
A = bh

b = base
h = hauteur

Triangle | Un triangle


/lookandlisten/mathematics/measurement/audio/un_triangle-2.mp3
A = 
 bh 
 2

or

A = 
 1
bh 
 2 

b = length of base
h = height
A = 
 bh 
 2

ou

A = 
 1
bh 
 2 

b = base
h = hauteur

Rhombus | Un losange


/lookandlisten/mathematics/measurement/audio/un_losange-2.mp3
A = 
 d1d2 
 2

or

A = 
 1
d1d2 
 2 

d1 =length of a diagonal
d2
= length of the other diagonal

A = 
 D x d 
 2

ou

A = 
 1
D x d 
 2 

D = grande diagonale
d
= petite diagonale


Circle | Un cercle


/lookandlisten/mathematics/measurement/audio/un_cercle-2.mp3
A = πr2

π = pi (3.14159)
r = radius

A = πr2

π = pi (3.14159)
r = rayon


The surface area is the total area of the surface of a tree-dimensional object.
The formulae to calculate the surface area (Atotal) | l’aire totale de la surface (Atotale) are:

Geometric Figure | La figure géométrique

Surface Area (A)

L’aire totale de la surface (A)

Cube | Un cube


/lookandlisten/mathematics/measurement/audio/un_cube.mp3
A = 6s2

s = length of edge
A = 6a2

a = longueur de l’arête

Rectangular Prism | Un prisme droit à base rectangulaire


/lookandlisten/mathematics/measurement/audio/un_prisme_droit_a_base_rectangulaire.mp3
A = 2(wh + ℓw + ℓh)
or
A = 2wh + 2ℓw + 2ℓh

= length
h = height
w = width

A = 2(Lh + ℓL + hℓ)
ou
A = 2Lh + 2ℓL + 2hℓ

L = longueur
= largeur
h = hauteur

Cylinder | Un cylinder


/lookandlisten/mathematics/measurement/audio/un_cylinder.mp3
Abaseπr2
Alateral surface = 2πrh
Atotal
2Abase + Alateral surface
       = 2πr2 + 2πrh

π = pi (3.14159)
r = radius
h = height

Abaseπr2
Asurface latérale = 2πrh
Atotale
2Abase + Asurface latérale
         = 2πr2 + 2πrh

π = pi (3.14159)
r = rayon
h = hauteur

Regular Square Based Pyramid | Une pyramide à base carrée


/lookandlisten/mathematics/measurement/audio/un_pyramide_a_base_carree.mp3
Atriangle = 
 1
bs 
 2 

Abaseb2
Atotal = 4Atriangle + Abase
        = 2bs + b2

b = length of base edge
s = slant height

Atriangle = 
 b
 2 

Abaseb2
Atotale = 4Atriangle + Abase
        = 2bs + b2

b = longueur de l’arête de base
= longueur de l’apothème


Sphere | Une sphère


/lookandlisten/mathematics/measurement/audio/une_sphere.mp3
A = 4πr2

π = pi (3.14159)
r = radius

A = 4πr2

π = pi (3.14159)
r = rayon

Cone | Un cône


/lookandlisten/mathematics/measurement/audio/un_cone.mp3
Alateral  surface = πrs
Abaseπr2
Atotal =
A
lateral surface  +  Abase
       = πrs + πr2

π = pi (3.14159)
r = radius
s = slant height

Asurface latérale = πrs
Abaseπr2
Atotale =
A
surface latéraleAbase
       = πrs + πr2

π = pi (3.14159)
r = rayon
s = longueur de l’apothème

Triangular prism | Un prisme à base triangulaire


/lookandlisten/mathematics/measurement/audio/un_prisme_a_base_teriangulaire.mp3
Abase = 
 1
bℓ 
 2 
Arectangles = ah  +  bh  +  ch
Atotal
2Abase + Arectangles
= bℓ +  ah  +  bh  +  ch

a = length of edge a
b = length of base edge
c = length of edge c
= triangle altitude
h = height of prism

Abase = 
bℓ
 
 2 
Arectangles = ah  +  bh  +  ch
Atotal =  2Abase + Arectangles
= bℓ +  ah  +  bh  +  ch

a = longueur de l’arête a
b
= longueur de l’arête de base
c
= longueur de l’arête c
= hauteur du triangle
h
= hauteur du prisme



The volume of a shape is the amount of space occupied by an object. It is measured in cubic units.
The formulae to calculate the volume (V) | le volume (V) are:

Geometric Figure | La figure géométrique

Volume (V)

Le volume (V)

Cube | Un cube


/lookandlisten/mathematics/measurement/audio/un_cube-2.mp3
V  = s3

s = length of edge
V  = a3

a = longueur de l’arête

Rectangular prism | Un prisme droit à base rectangulaire


/lookandlisten/mathematics/measurement/audio/un_prisme_droit_a_base_rectangulaire.mp3
V = (Abase)(height)
V = ℓwh

= length
h = height
w = width
V = Abase  x hauteur
V = Lℓh

L = longueur
= largeur
h = hauteur

Cylinder | Un cylindre


/lookandlisten/mathematics/measurement/audio/un_cylinder-2.mp3
V = (Abase )(height)
V = πr2h

π = pi (3.14159)
r = radius
h = height
V = Abase  x hauteur
V = πr2h

π = pi (3.14159)
r = rayon
h = hauteur

Regular Square Based Pyramid | Une pyramide à base carrée


/lookandlisten/mathematics/measurement/audio/une_pyramide_a_base_carree-2.mp3
V = 
 (Abase)(height) 
 3

or

V = 
 1
b2h 
 3 
or
V = 
b2h
 3



b = length of base edge
h
= height
V = 
 Abase x hauteur 
 3
ou
V = 
 b2h
 3

ou

V = 
 1
b2h 
 3 

b = longueur de l’arête de base
h
= hauteur

Sphere | Une sphère


V = 
 4
πr3 
 3 
or
V = 
 4πr3
 3


π = pi (3.14159)
r
= radius

V = 
 4πr3
 3
ou
V = 
 4
πr3 
 3 

π = pi (3.14159)
r
= rayon

Cone | Un cône


/lookandlisten/mathematics/measurement/audio/un_cone-2.mp3
V = 
 (Abase)(height) 
 3

or

V = 
1
 
πr2h
 
3
or
V = 
 
πr2h
 3


π = pi (3.14159)
r
= radius
h
= height
V = 
 Abase x hauteur 
 3
ou
V = 
1
 
πr2h
 
3
ou
V = 
 1
 
πr2h
 
 3 

π = pi (3.14159)
r
= rayon
h
= hauteur

Triangular prism | Un prisme à base triangulaire


/lookandlisten/mathematics/measurement/audio/un_prisme_a_base_teriangulaire.mp3
V = 
 (Abase)(height) 

or

V = 
 1
 
bℓh
 
 2 
or
V = 
 
bℓh
 2


b = length of base edge
= triangle altitude
h
= height of prism
V = 
 Abase x hauteur 
ou
V = 
 
bℓh
 2

ou

V = 
 1
 
bℓh
 
 2 

b = longueur de l’arête de base
= hauteur du triangle
h
= hauteur du prisme