Volume of Rectangular Prisms

Front

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

Back

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

Front

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

Back

The volume is V = 5 ft × 4 ft × 3 ft = 60 ft³.

Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic feet (ft³), cubic meters (m³), and cubic inches (in³).

Front

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

Back

Increasing any dimension (length, width, or height) will increase the volume, while decreasing any dimension will decrease the volume.

Front

What is the volume of a rectangular prism with a length of 10 cm, a width of 2 cm, and a height of 5 cm?

Back

The volume is V = 10 cm × 2 cm × 5 cm = 100 cm³.

Front

If the volume of a rectangular prism is 180 ft³ and the height is 5 ft, what is the area of the base?

Back

The area of the base (A) can be found using the formula: A = Volume / Height. So, A = 180 ft³ / 5 ft = 36 ft².

Front

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

Back

The volume of a rectangular prism is equal to the area of the base multiplied by the height: V = Base Area × Height.

Front

If a rectangular prism has a volume of 27 m³ and a base area of 9 m², what is its height?

Back

The height can be calculated using the formula: Height = Volume / Base Area. So, Height = 27 m³ / 9 m² = 3 m.

Front

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

Back

The volume is V = 4 in × 3 in × 2 in = 24 in³.

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cubic centimeters (cm³) to cubic meters (m³), divide by 1,000,000 (1 m³ = 1,000,000 cm³).