Surface Area Volume and Changing Dimensions

If you multiply each dimension by 6, then what is the effect on the surface area?

• The surface area is multiplied by 36.

• The surface area stays the same.

• The surface area is multiplied by 6

• The surface area is multiplied by 216.

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

• 5

• 25

• 50

• 125

If a spherical ball is enlarged so that its surface area is 9 times greater than its original surface area, then the original radius was multiplied by ____.

• 1

• 3

• 9

• 27

Two cones are similar.  One cone has a radius of 12 inches, while the larger cone has a radius of 20 inches.  The volume of the larger cone is 20,000 cubic inches.  What is the volume of the small cone?

• 12,000 cubic inches

• 8000 cubic inches

• 7200 cubic inches

• 4320 cubic inches

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.

What is surface area?

• The number of vertices on a polyhedron.

• The sum of the areas of all the faces.

• The sum of all the edge lengths.

• The amount of space inside a polyhedron.

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

What is surface area?

• Inside of the object

• the sum of all the areas of all the shapes that cover the surface of the object.

• Something Coach G made up?

• Surface area is what you get when you boil unicorn tears. 

When finding Surface Area, what are you solving for?

• Tells us the capacity of the figure.  It is a measure of how much a figure can hold and is measured in cubic units.

• The area of such an outer part or uppermost layer.

Each edge of pyramid is multiplied by ⅔.  Then the surface area of the new pyramid will be _____ times larger than the original pyramid.

• 2/3

• 3/2

• 4/9

• 8/27