Finding Volume: Counting Unit Cubes

Front

What is volume?

Back

Volume is the amount of space that a three-dimensional object occupies, measured in cubic units.

Front

How do you find the volume of a rectangular prism?

Back

To find the volume of a rectangular prism, multiply its length, width, and height: Volume = Length × Width × Height.

Front

What are cubic units?

Back

Cubic units are the units used to measure volume, representing a cube that is 1 unit long on each side.

Front

What is the volume of a rectangular prism with a length of 4 units, width of 3 units, and height of 2 units?

Back

24 cubic units (Volume = 4 × 3 × 2 = 24).

Front

If a box has a volume of 30 cubic units and a height of 5 units, what is the area of the base?

Back

6 square units (Area of base = Volume ÷ Height = 30 ÷ 5 = 6).

Front

What is the volume of a cube with sides of 3 units?

Back

27 cubic units (Volume = Side × Side × Side = 3 × 3 × 3 = 27).

Front

What is the difference between cubic units and square units?

Back

Cubic units measure volume (3D), while square units measure area (2D).

Front

How many unit cubes fit in a rectangular prism with dimensions 2 units by 3 units by 4 units?

Back

24 unit cubes (Volume = 2 × 3 × 4 = 24).

Front

What is the volume of a rectangular prism with a length of 5 units, width of 2 units, and height of 1 unit?

Back

10 cubic units (Volume = 5 × 2 × 1 = 10).

Front

If a rectangular prism has a volume of 12 cubic units and a height of 3 units, what is the area of the base?

Back

4 square units (Area of base = Volume ÷ Height = 12 ÷ 3 = 4).