Changing Attributes

If the height of a rectangular prism is doubled, how would that affect the surface area?

• The surface area would be cut in half.

• The surface area would double.

• The surface area would decrease., but not by half.

• The surface area would increase, but not double.

If a cone and a cylinder have the same dimensions, what can we say about their volumes?

• The volume of the cone is twice as large as the cylinder.

• The volume of the cone is three times as large as the cylinder.

• The volume of the cone is half as large as the cylinder.

• The volume of the cone is a third as large as the cylinder.

A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height of this prism is changed to 6 inches, and the other dimensions stay the same. What is the volume of the prism with this change?

Which statement is NOT true?

• Doubling the length of a prism will double its volume.

• Multiplying the length of a prism by a scale factor of

  4 will multiply the volume by 4.

• There is a direct relationship between a change in

  the length and a change in the volume.

• Doubling the length of a prism will double its surface

  area.

A cylinder's volume is approximately 1,965 cubic inches.

If a cone has the same dimensions, what would the volume be?

• 1,965 cubic inches

• 655 cubic inches

• 5895 cubic inches

• 982.5 cubic inches

If the width of the rectangular prism is doubled, which of the following is true?

• The volume increases by 28.

• The volume is eight times as large.

• The volume is half as large.

• The volume is twice as large.

A cereal company wants to change the shape of its cereal box in order to attract the attention of shoppers. The original box has dimensions of 8 inches by 3 inches by 11 inches. The new box has dimensions of 10 inches by 10 inches by 3 inches. Which holds more cereal?

• The 10 x 10 x 3 box.

• The 8 x 3 x 11 box.

• They are equal.