Similar, Congruent or Neither
Ratio of Surface Area or Volume
Population Density
Density of Solids
Miscellaneous Madness
100

Determine whether the pair of solids is similar, congruent, or neither:

A pyramid with a length = 3 and a height = 10 and a pyramid with a length = 3 and a height = 10.

Congruent

100

Two similar cylinders have a scale factor of 1 / 3. What is the ratio of the surface area of the two cylinders?

1 / 9

100

Find the population density of Tampa to the nearest tenth if the population is 352,957 and the area is 170.6 mi2.

2,068.9 persons/mi2

100

Find the density of a cube with a volume of 512 and a mass of 2460 grams. Round to the nearest tenth.

4.8 g/cm3

100

Which planet is closest to the sun?

Mercury 

200

Determine whether the pair of solids is similar, congruent, or neither:

A cone  with a radius = 2, and a height = 15 and a cone with a radius = 4 and a height = 32.

Neither

200

Two pyramids have heights of 6 square inches and 8 square inches. What is the ratio of the surface area of the small pyramids to the surface area of the large pyramids?

9 / 16

200

Find the population density of London, England given the population is 8,674,000 and the area is 607.

14,290 persons/mi2

200

A rectangular prism has a length of 25 centimeters, a width of 5.8 centimeters, and a height of 10 centimeters. The mass of the prism is 1650 grams. Find the density of the prism to the nearest tenth.

1.1 g / cm3

200

What color is a polar bear’s skin?

Black

300

Determine whether the pair of solids is similar, congruent, or neither:

A rectangular prism with a width = 6, a length = 18 and a height = 20 and a rectangular prism with a width = 18, a length = 54 and a height = 60.

Similar, scale factor of 1 / 3

300

Two similar prisms have surface areas of 25 square feet and 36 square feet. What is the ratio of the length of the small prism to the length of the large prism?

5 / 6

300

Find the area of San Francisco, given that the population density is 17,855.9 persons/mi2 and the population is 837,442. 

46.9 mi2

300

Find the density of a cube with an edge lengths that measure 12 cm and a mass of 425 grams.

0.25 g / cm3

300

Who is the fashion designer in The Incredibles?

Edna Mode

400

Determine whether the pair of solids is similar, congruent, or neither:

A sphere with a radius of 4 and a sphere with a diameter of 8.

Congruent

400

Two similar prisms have heights of 12 feet and 20 feet. What is the ratio of the volume of the small prism to the volume of the large prism?

27 / 125

400

Find the population of Sacramento, given that the population density is 4,792.1 persons/mi2 and the area is 100.1 mi2.

479,689 persons

400

A cylinder has a radius of 2 inches and a height of 6 inches. Its mass is 1000 grams. Find the density of the cylinder to the nearest tenth.

13.3 g / in3

400

Name 3 of the seven dwarfs in Snow White.

Dopey, Doc, Bashful, Sneezy, Happy, Grumpy and Sleepy

500

Determine whether the pair of solids is similar, congruent, or neither:

A sphere with a radius of 5 and a sphere with a radius of 7.

Similar, all spheres are similar.

500

Two cubes have surface areas of 81 square inches and 144 square inches. What is the ratio of the volume of the small cube to the volume of the large cube?

27 / 64

500

A rectangular national site-seeing park with length of 2 miles and width of 3 miles allows a maximum capacity 250 people. Find the population density of people to the nearest hundredth.

41.67 persons/mi2

500

A sphere has a radius of 4 feet. Its mass is 200 grams. Find the density of the sphere to the nearest tenth.

0.75 g / cm3

500

What is the only U.S. state that borders just one other state?

Maine