This is a square centimeter (cm 2 ). 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 0°
This is a square centimeter (cm2).
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 50°
This is a cubic centimeter (cm3).
This is a cubic centimeter (cm3).
Each edge has a length of 1 cm.
This is a cubic centimeter (cm3).
Each edge has a length of 1 cm.
A cubic centimeter has six faces that each have an area of 1 cm2.
This is a cubic centimeter (cm3).
Each edge has a length of 1 cm.
A cubic centimeter has six faces that each have an area of 1 cm2.
The total surface area is
6 • 1 cm2 = 6 cm2.
Each edge of this cube has a length of 2 cm.
Each edge of this cube has a length of 2 cm.
Each of the six faces has an area of 4 cm2.
Each edge of this cube has a length of 2 cm.
Each of the six faces has an area of 4 cm2.
The total surface area is
6 • 4 cm2 = 24 cm2.
Each edge of this cube has a length of 3 cm.
Each edge of this cube has a length of 3 cm.
Each of the six faces has an area of 9 cm2.
Each edge of this cube has a length of 3 cm.
Each of the six faces has an area of 9 cm2.
The total surface area is
6 • 9 cm2 = 54 cm2.
Each edge of this cube has a length of 4 cm.
Each edge of this cube has a length of 4 cm.Each of the six faces has an area of 16 cm2.
Each edge of this cube has a length of 4 cm.Each of the six faces has an area of 16 cm2.
The total surface area is6 • 16 cm2 = 96 cm2.
Formula for surface area of a cube:If s is the length of an edge of a cube, the
total surface area of the cube is the product of six and the square of the length of an
edge, S.A. = 6s2.
The volume of a 3-dimensional figure is the space inside the figure.
The volume of a 3-dimensional figure is the space inside the figure.
1 cm3
The volume of a 3-dimensional figure is the space inside the figure.
1 cm3 8 cm3
The volume of a 3-dimensional figure is the space inside the figure.
1 cm3 8 cm3
27 cm3
The volume of a 3-dimensional figure is the space inside the figure.
1 cm3 8 cm3
27 cm3
64 cm3
The volume of a 3-dimensional figure is the space inside the figure.
1 = 13 8 = 23
27 = 33
64 = 43
The numbers: 1 (13), 8 (23), 27 (33), 64 (43), 125 (53) . . .
are cubic numbers. They are also know as perfect cubes.
Formula for the volume of a cube:
If s is the length of an edge of a cube, the volume of the cube is the
cube of the length of an edge,
V = s3.
A milliliter is the same as a cubic centimeter. A liter is 1000 cubic
centimeters. Some traditional units of volume are: ounce, cup, pint, quart, and
gallon.
Formula for the volume of a cube:If s is the length of an edge of a cube, the
volume of the cube is the cube of the length of an edge, V = s3.
Formula for surface area of a cube:If s is the length of an edge of a cube, the total
surface area of the cube is the product of six and the square of the length of an edge,
S.A. = 6s2.