Volume
Vocabulary/How To
Area of Polygons
Volume 2
Density/Pop Density
100

VOLUME of the rectangular prism:

600 ft3

100

How would you find the volume of the given shape (use words/letters)?

V = l x w x h

100

Area of the hexagon:


Where one whole SIDE LENGTH is 20

1039.23 in2

100

VOLUME of the rectangular pyramid:

28 ft3

100

An inflatable beach ball with a radius of 12 is filled with water. The density of water is 1 g/cm^3 . What do you find (Solve) first?

Volume

200

VOLUME of the triangular prism:

42 m3

200

What shape is the base of this prism:

triangle

200

Area of the pentagon:

400 ft2

200

VOLUME of the sphere:

1436.8 m3

200

If the mass of the square pyramid below is 4 grams, what is the density? Round to the nearest hundredths place.

0.02

300

VOLUME of the cylinder:

1693.32 ft3

300

what is the formula for the volume of this cylinder:

V=Bh or V=

pir^2h

300

Area of the polygon:

568.8

300

VOLUME of the hexagonal prism:


1305 mi3

300

A cone made from iron has a radius of 16cm and height of 23cm. If the density of iron is 7.8 g/cm^3 , find the weight (mass) of the cone to the nearest gram.

48804g

400

VOLUME of the cone:

1072.33 in3

400
HOW would you find the volume of the cone?

1/3Bh

1/3pir^2h

400

Area of the polygon with apothem 4.15

58.1 km2

400

VOLUME of the pentagonal prism:

1207.5 m3

400

The 2024 population of Georgia was 10,568,267 people. The land area of Georgia is 57,717  m^2 . Calculate the population density to the nearest person.

183 (or 184 if you round everything up since you can’t have partial people)

500

VOLUME of the figure:

1512 in3

500
What two shapes are pictured below?

cube and square pyramid

500

Area of the polygon is 234.1, what is the apothem?

8.51

500

VOLUME of the figure:

150.8 cm3

500

What is the equation for population density?

PD = population/land area