Scale Factor Review

Two similar pyramids have volumes of 648 cm³ and 375 cm³. Find the ratio of their slant heights.

• 375/648

• 5/6

• 25/36

• 125/216

Two similar pentagons have side lengths of 9 inches and 15 inches. What is the ratio of their areas?

• 3/5

• 27/125

• 9/25

• 9/15

Which of the following measurements are related to the scale factor? Check all that apply.

• surface areas

• heights

• side lengths

• volume

• perimeter

Which of the following measurements would be related to the area ratio? Check all that apply.

• Perimeter

• Surface Area

• Side Lengths

• Lateral Surface Area

• Heights

How many times greater is the perimeter of a parallelogram if its side lengths are increased by a factor of 8?

• 8

• 16

• 64

• 512

How many times greater is the area of a trapezoid if its side lengths are increased by a factor of 4?

• 4 times greater

• 64 times greater

• 8 times greater

• 16 times greater

Tags

CCSS.7.G.A.1

Quadrilateral DEFG has 4 congruent sides and is graphed on the coordinate plane. The quadrilateral has points D(1, -1) and E(-2, 3). What would the new perimeter of DEFG be if each side were increased by a length of 3 units? (Hint: find the length of side DE now and then use that to find out what the new side lengths would be)



 $d\ =\ \sqrt{\left(x_2-x_1\right)^2+\left(y_{2\ }-\ y_1\right)^2}$  

• 8 units

• 32 units

• 40 units

• 20 units

The two pyramids shown are similar. If the smaller pyramid has a height of 21 meters, then what is the height of the larger pyramid?

• 11 meters

• 81.49 meters

• 33 meters

• 7 meters

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

• 288 m³

• 112.5 m³

• 450 m³

• 360 m³

The cylinders shown are similar. Find the missing height of the larger cylinder.

• 192 cm

• 8 cm

• 48 cm

• 36 cm