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.