Understanding Volume Changes in Rectangular Prisms

The video tutorial explores how the volume of a rectangular prism changes with varying dimensions. Initially, the volume is calculated with a given height, then the effect of doubling the height is examined, showing that the volume doubles. Further, the video demonstrates that doubling two dimensions quadruples the volume, and prompts viewers to consider the impact of doubling all dimensions.

What are the given dimensions of the rectangular prism in the video?

• Width: 2, Depth: 5, Height: h

• Width: 3, Depth: 2, Height: h

• Width: 2, Depth: 3, Height: h

• Width: 3, Depth: 5, Height: h

What is the volume of the rectangular prism when the height is 5?

• 45 cubic units

• 60 cubic units

• 30 cubic units

• 15 cubic units

How does the volume change when the height is doubled from 5 to 10?

• It triples

• It doubles

• It quadruples

• It remains the same

What is the volume when the height is increased to 20?

• 150 cubic units

• 120 cubic units

• 90 cubic units

• 60 cubic units

What is the relationship between doubling one dimension and the volume?

• Volume quadruples

• Volume triples

• Volume doubles

• Volume remains the same

If the height is halved from 20 to 10, what happens to the volume?

• It halves

• It remains the same

• It quadruples

• It doubles

What happens to the volume when two dimensions are doubled?

• It remains the same

• It doubles

• It quadruples

• It triples

If the width is doubled to 4 and the height is doubled to 10, what is the new volume?

• 60 cubic units

• 150 cubic units

• 90 cubic units

• 120 cubic units

What is the effect on volume when all dimensions are doubled?

• It quadruples

• It doubles

• It triples

• It increases eightfold

If the original volume is 30 cubic units, what would be the volume if all dimensions are doubled?

• 480 cubic units

• 60 cubic units

• 240 cubic units

• 120 cubic units