Find Volume of Composed Figures

Front

What is the definition of volume in geometry?

Back

Volume is the amount of space an object occupies, measured in cubic units.

Front

What is the formula for calculating the volume of a rectangular prism?

Back

The formula is length x width x height.

Front

If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm, what is its volume?

Back

The volume is 60 cubic centimeters.

Front

What units are commonly used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and gallons.

Front

True or False: The volume of an object can be negative.

Back

False. Volume is always a non-negative value.

Front

What shape is formed when you extend a rectangle in three dimensions?

Back

A rectangular prism.

Front

How do you find the volume of a composed figure made up of two rectangular prisms?

Back

Calculate the volume of each prism separately and then add the two volumes together.

Front

What is the volume of a cube with a side length of 3 inches?

Back

The volume is 27 cubic inches (3 in x 3 in x 3 in).

Front

If the volume of a rectangular prism is 120 cm³ and its height is 5 cm, what is the area of the base?

Back

The area of the base is 24 cm² (Volume = base area x height, so base area = Volume / height).

Front

What is the relationship between the dimensions of a rectangular prism and its volume?

Back

The volume is directly proportional to the product of its length, width, and height.