Effects of Changing Dimensions 3D

If this circle is dilated by the scale factor of 2, what would be the new area in cm²?

• 48 cm²

• 24 cm²

• 6 cm²

• 36 cm²

When multiplying by a scale factor the area will multiply by...

• The same scale factor

• The scale factor doubled

• The scale factor squared (to the power of 2)

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

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

The edges of a cube are all reduced by a factor of ½.  So the surface area will be reduced by a factor of _____

• ⅛

• ¼

• ½

• ⅙

The surface area of a pyramid is 12 cm².  A new pyramid is similar to the original pyramid and the ratio of the sides of the new to the original is 3:2.  What is the surface area of the new pyramid?

• 12 cm²

• 8 cm²

• 18 cm²

• 27 cm²

When the edge of a cube is tripled in size, then the volume is _______.

• 81 times larger

• 27 times larger

• 9 times larger

• 3 times larger

All the dimensions of this prism are reduced by 1/3. What is the volume of new prism in cm³?

• 18 cm³

• 36 cm³

• 12 cm³

• 6 cm³