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Definition

Finding Volume of a Solid

Definition

Definition Volume
The volume of a shape is the amount of space it takes up in three dimensions. We measure it in cubic units, like cubic centimeters or cubic meters.
To find the volume, imagine filling the shape with small cubes, like building blocks. Count how many cubes fit inside the shape.
Example
Find the volume:

$$\begin{aligned}[t]\text{Volume} &= 8~\text{cube units}\end{aligned}$$

Definition

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 6 cubic units.

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 8 cubic units.

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 7 cubic units.

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 9 cubic units.

Finding Volume of a Rectangular cuboid

Definition

Definition Volume
The volume of a shape is the amount of space it takes up in three dimensions. We measure it in cubic units, like cubic centimeters or cubic meters.
To find the volume, imagine filling the shape with small cubes, like building blocks. Count how many cubes fit inside the shape.
Example
Find the volume:

$$\begin{aligned}[t]\text{Volume} &= 8~\text{cube units}\end{aligned}$$

Definition

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 8 cubic units.

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 12 cubic units.

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 12 cubic units.

Exercise
What is the volume of the red solid?
cubic units

To find the volume, we count the number of unit cubes inside the shape.
The volume is 24 cubic units.