Scale Factor, Cross Section of Shape

A polygon with area 12 square units is dilated by a scale factor of 1.5. What is the area of the dilated image?

• 18 square units

• 27 square units

• 40.5 square units

• 36 square units

A solid with volume 8 cubic centimeters is dilated by a scale factor of k to obtain a solid with a volume of 1000 cubic centimeters. Find the value of k.

• k = 15

• k = 5

• k = 25

• k = 125

Identify the resulting 2D cross-section from the sliced 3D figure.

• circle

• rectangle

• square

• triangle

Identify the resulting 2D cross-section from the sliced 3D figure.

• triangle

• pyramid

• square

• trapezoid

A company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain?

• 1.2 ounces

• 4.8 ounces

• 19.2 ounces

• 76.8 ounces

A company wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1.2-ounce box. It must contain 18.75 ounces of cereal. What scale factor does the company need to use for the family size box?

• 1

• 15.625

• 2.5

• 3.95

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

Two hexagons are similar with a scale factor of 4/5. If the area of the larger hexagon is 20, what is the area of the smaller hexagon?

• 10.24

• 12.8

• 16

• 25

Describe the cross section.

• rectangle

• square

• parallelogram

• circle