Change in Scale Rectangular Prisms

If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true?

• The volume remains the same.

• The volume is eight times as large.

• The volume is also multiplied by a scale factor of 4.

• The volume increases by 4.

The volume of a rectangular prism is 250 m³. If the height is multiplied by a scale factor of 1/2, what is the new volume?

• 250 m³

• 500 m³

• 125 m³

• 75 m³

If the length of a rectangular prism is changed by a factor of 3, which of the following is true?

• The surface area changes by a factor of 3.

• The volume changes by a factor of 3.

• The surface area changes by 3.

• The volume changes by 3.

If all the edges of a prism are multiplied by 5, then the lateral area of the prism will be multiplied by ___.

• 5

• 25

• 50

• 125

Carl's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's pool has the same length and height, but the width is three times larger. What is the volume of the neighbor's pool?

• 1800 cubic feet

• 1200 cubic feet

• 900 cubic feet

• 600 cubic feet

Look at the prisms. Which statement is true about the prisms?

• The surface area of prism A is 1/5 of the surface area of prism B.

• The volume of prism B is 5 times the volume of prism A.

• The volume of prism B is 1/5 of the volume of prism A. 

• The surface area of prism A is 1/2 fo the surface area of prism B.A

Look at the prisms.

• The volume of Prism A is half the volume of Prism B.

• The volume of Prism A is equal to the volume of Prism B.

• The volume of Prism B is 10 times the volume of Prism A.

• The volume of Prism B is 20 times the volume of Prism A.

Which of the following statements is true?

• Doubling the length of a rectangular prism doubles its volume.

• Doubling the length and height of a rectangular prism doubles the surface area.

• Multiplying the width by a scale factor of 1/3 triples the volume.

• If you triple the height of a rectangular prism the volume will be increased by 3.

A rectangular prism has a volume of 24 cm³. If the height of the prism triples, and the other two dimensions stay the same, what is the new volume?

• 72 cm³

• 8 cm³

• 12 cm³

• 48 cm³

If the length, width, or height of a rectangular prism triples, then the volume will triple as well.

• True

• False