Surface Area and Volume Change in Dimensions

A rectangular prism is 5 meters by 8 meters by 7 meters. Th side that is 7 meters long is doubled, the other sides lengths are unchanged.  How does the volume change?

• The volume is twice as large
• The volume is 7 times as large
• The volume is 8 times as large
• The volume is 14 times as large

A rectangular prism has a volume of 36 cm³. If the height of the prism is tripled and the other dimensions do not change, what is the volume of the new rectangular prism?

• 36 cm³

• 72 cm³

• 108 cm³

• 144 cm³

A rectangular prism has a volume of 36 cm³. If all dimensions of the original rectangular prism are tripled, what is the volume of the new rectangular prism?

• 27 cm³

• 108 cm³

• 972 cm³

• 46656 cm³

A cylinder has a surface area of 96 square inches. If all dimensions of this cylinder are multiplied by 1/2 to create a new cylinder, what will be the surface area of the new cylinder?

• 24 square inches

• 48 square inches

• 96 square inches

• 192 square inches

If the height of a rectangular prism is decreased by ⅓, then which statement is true?

• The volume would decrease by 1/3.

• The volume would decrease by 1/6.

• The volume would decrease by 1/9.

• The volume would decrease by 1/27.

Describe what happens when to the volume of a cone if its radius is doubled while its height is halved. The volume is ---

• unchanged

• doubled

• increased by a factor of ⅓

• not able to be determined

The dimensions of a triangular prism with a surface area of 51.46 cm² are multiplied by a scale factor of 2.5 to create a similar triangular prism. What is the surface area of the new triangular prism?

• 128.65 cm²

• 321.625 cm²

• 257.3 cm²

• 6620.329 cm²

The height and radius of a cone are each multiplied by 3. What effect does this have on the volume of the cone? The volume of the cone is multiplied by ---

• 3

• 9

• 18

• 27

If the width of a rectangular prism is increased by 3/2, which answer justifies what happens to the volume of the figure?

• The volume increases by 3/2. Only one of three dimension changes, instead of all three.

• The volume increases by 9/4. Volume is a square unit of measure.

• The volume increases by 27/8. Volume is a cubic unit of measure.

• The volume increases by 3 times the original amount. Volume is a cubic unit of measure.

Which of the following would triple the volume of an Egyptian square-based Pyramid?

• add 3 to each dimension of the Pyramid

• multiply every dimension of the Pyramid by 3

• multiply only the height by 3

• add 3 to the slant height