Volume Changes in Rectangular Prisms

The video tutorial explores the concept of volume in rectangular prisms, focusing on how changing one dimension affects the overall volume. It demonstrates that multiplying one dimension by a scale factor results in the volume being multiplied by the same factor. The tutorial also includes a practical example involving cereal boxes of different sizes, showing how changes in dimensions impact the volume each box can hold.

What happens to the volume of a rectangular prism if one of its dimensions is doubled?

• The volume is tripled.

• The volume is doubled.

• The volume remains the same.

• The volume is halved.

If the length of a rectangular prism is doubled, what is the new volume if the original volume was 24 cubic units?

• 24 cubic units

• 72 cubic units

• 96 cubic units

• 48 cubic units

How does doubling the width of a rectangular prism affect its volume?

• The volume is doubled.

• The volume is tripled.

• The volume remains unchanged.

• The volume is reduced by half.

What is the new volume of a rectangular prism if its height is doubled and the original volume was 24 cubic units?

• 24 cubic units

• 48 cubic units

• 96 cubic units

• 72 cubic units

What is the general rule for the volume of a rectangular prism when one dimension is changed by a scale factor?

• The volume is unchanged.

• The volume is multiplied by the scale factor.

• The volume is added to the scale factor.

• The volume is divided by the scale factor.

In the cereal box example, how much wider is the family size box compared to the original?

• 2.5 times wider

• 3 times wider

• 2 times wider

• 1.5 times wider

What is the volume of the original cereal box if its dimensions are 7.5 by 2.5 by 12?

• 225 cubic inches

• 250 cubic inches

• 275 cubic inches

• 300 cubic inches

How does the volume of the smallest cereal box compare to the original if its height is halved?

• It is the same as the original.

• It is half of the original.

• It is double the original.

• It is triple the original.

What is the volume of the family size cereal box if its width is 6.25 inches?

• 225 cubic inches

• 375 cubic inches

• 281.25 cubic inches

• 468.75 cubic inches

If the original cereal box has a volume of 225 cubic inches, what is the volume of the smallest box?

• 225 cubic inches

• 112.5 cubic inches

• 150 cubic inches

• 200 cubic inches