FORMULA SHEET
Topic 13: Surface Area and Volume
13-1: Surface Area of Right Prisms
Lateral Area of a Prism: the sum of the areas of the lateral surfaces
Lateral Area
=
Perimeter of base
L. A.
=
p
●
height of prism
h
Surface Area of a Prism: the sum of the lateral area and the areas of its bases
Surface Area
=
Lateral Area
+
2 ● Area of a Base
S. A.
=
L. A.
+
2B
Surface Area of a Cube: the sum of the areas of the faces of the cube
Surface Area
=
6
S. A.
=
6
●
Area of a face
s2
13-2: Volumes of Right Prisms
Volume of a Prism: the number of unit cubes needed to fill the prism
Volume
=
Area of base
V
=
B
●
height
Volume of a Cube: the number of unit cubes needed to fill the cube
Volume
=
Edge length3
V
=
s3
h
13-3: Surface Area of Right Pyramids
Slant height of a Pyramid: the height of a lateral face
Lateral Area of a Pyramid: the sum of the areas of the lateral faces
Lateral Area
=
L. A.
=
𝟏𝟏
𝟐𝟐
(perimeter of a base)
1
2
●
slant height
l
p
Surface Area of a Pyramid: the sum of the lateral area and the area of the base
Surface Area
=
Lateral Area
+
Area of Base
S. A.
=
L. A.
+
B
13-4: Volumes of Right Pyramids
Volume of a Pyramid: the number of unit cubes needed to fill the pyramid
Volume
=
V
=
𝟏𝟏
𝟑𝟑
1
3
(
Area of Base
(
B
●
height
)
h
)
Other Useful Formulas for finding the Area of a Base (B):
Area of a Rectangle
=
length
A
=
l
Area a Square
=
side length
A
=
s2
Area of a Triangle
=
A
=
Area of a Hexagon
=
A
=
𝟏𝟏
𝟐𝟐
2
width
w
base
1
●
●
b
height
h
𝟏𝟏
6 triangles ( 𝟐𝟐 base
1
6(2b
●
height)
h