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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:
Answer
$$\begin{aligned}[t]\text{Volume} &= 8~\text{cube units}\end{aligned}$$
Definition
Exercise
What is the volume of the red solid?
cubic units
Answer
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
Answer
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
Answer
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
Answer
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:
Answer
$$\begin{aligned}[t]\text{Volume} &= 8~\text{cube units}\end{aligned}$$
Definition
Exercise
What is the volume of the red solid?
cubic units
Answer
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
Answer
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
Answer
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
Answer
To find the volume, we count the number of unit cubes inside the shape.
The volume is 24 cubic units.
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