Volume of prisms

Front

What is the formula to calculate the volume of a prism?

Back

Volume = length x width x height

Front

What is volume?

Back

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

Front

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

Back

Volume = 5 cm x 4 cm x 3 cm = 60 cm³

Front

What units are used to measure volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), and liters.

Front

How do you find the volume of a cube?

Back

Volume of a cube = side length x side length x side length.

Front

What is the volume of a rectangular prism with a length of 10 in, width of 2 in, and height of 3 in?

Back

Volume = 10 in x 2 in x 3 in = 60 in³

Front

What is the volume of a prism with a base area of 20 cm² and a height of 5 cm?

Back

Volume = base area x height = 20 cm² x 5 cm = 100 cm³

Front

If the dimensions of a prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π x radius² x height = π x (3 cm)² x 5 cm ≈ 141.37 cm³

Front

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

Back

The volume of a prism is directly proportional to its height, assuming the base area remains constant.