Surface Area and Volume Change in Dimensions

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.

If the radius of a sphere is doubled, how does the surface area change?

• It doubles.

• It quadruples.

• It increases by 8 times.

• It increases by 4 times.

A company has been using boxes as shown below.  They have decided to redesign their packages to be more eco-friendly.  The new box will look like the old design but the height of the box will be 2 inches shorter.  What is the difference in volumes between the old design and the new one?

• 648

• 576

• 72

• 125

If you wanted to know how much treasure is in the chest you would be finding the ________________

• volume

• surface area

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.

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

Rectangular prism A has a volume of 8 in³. Rectangular prism B has a volume of 32 in³. The length and width of both prisms is the same. If the height of the smaller prism is 2 inches, then what is the height of the larger prism?

• 4 inches

• 10 inches

• 6 inches

• 8 inches