Rectangular Prisms Change Scales

• The volume is eight times as large.

• The volume increases by 4.

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

• The volume remains the same.

Which statement is not true?

• Doubling the length of a prism will double its surface area.

• Multiplying the length of a prism by a scale factor of 4 will multiply the volume by 4.

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

• There is a direct relationship between a change in the length and a change in the volume.

Rectangular Prism A has a volume of 275 cubic inches. Rectangular Prism B has the same dimensions as Prism A except it is three times taller in height. What is the volume of Prism B?

• 278 cu in.

• 825 cu in.

• 92 cu in.

• 273 cu in,

The volume of a rectangular prism is 125 cm³. If the width of the prism is multiplied by a scale factor of 2, what is the volume of the new prism?

• 125 cm³

• 500 cm³

• 250 cm³

• 1,000 cm³

• 2 times the volume of Rectangular Prism A

• 3 times the volume of Rectangular Prism A

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Which statement is true?

• Multiplying the length of a prism by a scale factor of 4 will double its volume.

• Doubling the length of a prism will double its surface area.

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

• Multiplying the length of a prism by a scale factor of 4 will also increase the surface area by a scale factor of 4.

• The volume is eight times as large.

• The volume is twice as large.

• The volume is half as large.

• The volume increases by 28.

Mekhi was asked to design a rectangular prism that has a volume of 120 cu in. The first prism he created only had a volume of 60 cu in. Which situation would increase the volume of Mekhi's original prism to the correct amount?

• Multiply the width of the original prism by a scale factor of 2.

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• Add 20 inches to the width, height, and length of the original prism.

• Add 60 inches to the length of the original prism.

• The surface area is increased by 108 square feet.

• The surface area is 8 times as large.

• The surface area is 4 times as large.

• The surface area is increased by 4 square feet.

The volume of a rectangular prism is 32 inches cubed.  If the length is changed by a scale factor of 1/4, then what is the new volume?

• 32 inches cubed
• 128 inches cubed
• 16 inches cubed
• 8 inches cubed