Volume of Rectangular Prisms

Front

What is the formula for calculating 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 length of 5 units, a width of 4 units, and a height of 3 units, what is its volume?

Back

The volume is 5 × 4 × 3 = 60 cubic units.

Front

What units are used to measure the volume of a rectangular prism?

Back

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or liters.

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 units, a width of 2 units, and a height of 5 units?

Back

The volume is 10 × 2 × 5 = 100 cubic units.

Front

If the volume of a rectangular prism is 120 cubic units and the height is 4 units, what is the area of the base?

Back

The area of the base can be found using the formula: Area = Volume / height. So, Area = 120 / 4 = 30 square units.

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: Volume = Base Area × Height.

Front

How do you find the height of a rectangular prism if you know the volume and the base area?

Back

You can find the height using the formula: Height = Volume / Base Area.

Front

What is the volume of a rectangular prism with dimensions 3 units by 4 units by 5 units?

Back

The volume is 3 × 4 × 5 = 60 cubic units.

Front

If a rectangular prism has a volume of 200 cubic units and a width of 10 units, what is the height if the length is 5 units?

Back

Using the formula Volume = length × width × height, we can rearrange it to find height: Height = Volume / (length × width) = 200 / (5 × 10) = 4 units.