Volume

Front

What is volume?

Back

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

Front

How do you calculate the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula: Volume = length × width × height.

Front

If a rectangular prism has a volume of 420 cm³, a length of 12 cm, and a width of 7 cm, how do you find the height?

Back

To find the height, rearrange the volume formula: height = Volume / (length × width). In this case, height = 420 cm³ / (12 cm × 7 cm) = 5 cm.

Front

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

Back

The volume of a cube is calculated using the formula: Volume = side³. For a cube with a side length of 3 units, Volume = 3³ = 27 cubic units.

Front

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

Back

The volume is calculated as Volume = length × width × height = 2 × 3 × 4 = 24 cubic units.

Front

How many unit cubes can fit into a rectangular prism with a volume of 48 cubic units?

Back

48 unit cubes can fit into a rectangular prism with a volume of 48 cubic units, as each unit cube occupies 1 cubic unit.

Front

What is the volume of a figure measured in cubic feet if it is 90 ft³?

Back

The volume of the figure is 90 cubic feet, which indicates the amount of space it occupies.

Front

What units are commonly used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), liters (L), and cubic feet (ft³).

Front

What is the relationship between volume and capacity?

Back

Volume refers to the amount of space an object occupies, while capacity refers to the maximum amount a container can hold, often measured in liters or gallons.

Front

How does changing the dimensions of a rectangular prism affect its volume?

Back

Changing any of the dimensions (length, width, or height) of a rectangular prism will change its volume, as volume is directly proportional to these dimensions.