Volume Changes in Prisms

The video tutorial explores how changing the dimensions of a prism or cube affects its volume. It begins by examining the basic formula for volume and how doubling the height of a prism doubles its volume. The lesson progresses to altering all dimensions, demonstrating that halving each dimension results in a volume that is one-eighth of the original. Conversely, doubling each dimension increases the volume eightfold. The tutorial emphasizes the mathematical relationships between dimension changes and volume, providing a comprehensive understanding of these concepts.

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

• Length x Width

• Length x Width x Height

• Length + Width + Height

• Width x Height

What is the base area of a prism if its volume is given by length x width x height?

• Height x Base

• Length x Height

• Width x Height

• Length x Width

If the height of a prism is doubled, what happens to its volume?

• The volume is doubled

• The volume is tripled

• The volume remains the same

• The volume is halved

If the height of a prism is tripled, what happens to its volume?

• The volume is halved

• The volume is tripled

• The volume is doubled

• The volume remains the same

What is the effect on the volume if all dimensions of a prism are halved?

• The volume remains unchanged

• The volume is reduced to one-half

• The volume is reduced to one-eighth

• The volume is reduced to one-fourth

What is the result of dividing each dimension of a prism by two?

• The volume is reduced to one-fourth

• The volume remains unchanged

• The volume is reduced to one-eighth

• The volume is reduced to one-sixteenth

How is the volume affected when each dimension of a prism is multiplied by a third?

• The volume is reduced to one-third

• The volume is reduced to one-ninth

• The volume is tripled

• The volume is reduced to one-twenty-seventh

What mathematical operation is used to find the new volume when dimensions are altered?

• Subtraction

• Addition

• Division

• Multiplication

What happens to the volume of a prism if all dimensions are doubled?

• The volume is quadrupled

• The volume is doubled

• The volume is increased eightfold

• The volume remains the same

How does multiplying each dimension of a prism by two affect its volume?

• The volume is doubled

• The volume is quadrupled

• The volume is increased eightfold

• The volume remains the same