Lengths, Areas, and Volumes of Similar Figures

Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long,47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.

a. What is the scale factor of the prisms?( use column :)

Tags

CCSS.7.G.A.1

Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long,47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.

B. what is the volume of the larger suitcase? round to the nearest tenth.( Type numerical part only)

What is the surface area of the smaller solid shown below?(Type as improper fraction, numerical only)

Two tents are in the shape of hemispheres, with circular floors. The ratio of their floor area is 9:12.25. If the diameter of the smaller tent is 6 teet, what is the volume of the larger tent? round to the nearest tenth.

If the volume of a right cylinder is 36π in³, and the height is 1, what is the diameter?

• 6 in

• 12 in

• 36 in

• 3 in

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The side lengths of two similar solids are in the ratio 1:3

What is the ratio of the areas?

• 1:9

• 1:27

• 1:6

• 1:18

The side lengths of two similar solids are in the ratio 1:3

What is the ratio of the volumes?

• 1:9

• 1:27

• 1:6

• 1:18

The side lengths of two similar solids are in the ratio 1:2

What is the ratio of the areas?

• 1:4

• 1:8

• 2:4

• 2:8

The side lengths of two similar solids are in the ratio 1:2

What is the ratio of the volumes?

• 1:4

• 1:8

• 2:4

• 2:8