Volume and Surface Area

If the length of a prism with length = 10 m, width = 5 m and width = 2 m, is doubled, which of the following is true about its volume?

• The new volume is 3 times the old.

• The new volume is 1/2 the old.

• The new volume is 2 times the old.

• The new volume is 4 times the old.

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.

The volume of a rectangular solid is 960 cubic inches. The dimensions of the base are 12 inches by 10 inches. What is the height of the solid?

• 8 inches
• 80 inches
• 9.6 inches
• 10 inches

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

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.

Which statement is true?

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

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.