Geometric & Algebraic Connections

What is the formula for Density?

• Density * Volume

• Mass/Density

• Mass/Volume

Tags

CCSS.HSG.MG.A.2

Jack has a rock. The rock has a mass of 14 g and a volume of 2 cm³. What is the density of the rock?

• 7 g/cm3

• 7 mL

• 1/7 g/cm3

• 28 g/cm3

Tags

CCSS.HSG.MG.A.2

Find the density of a 2 cm x 2 cm x 2 cm cube with a mass of 64 g.  

(Hint: find the volume first!)

• 13 g/cm3

• 2 g/cm3

• 10 g/cm3

• 8  g/cm3

Tags

CCSS.HSG.MG.A.2

If a block of wood has a density of 0.6 g/cm3 and a mass of 120 g, what is its volume?

• 300 cm3

• 200 cm3

• 100 mL

• 150 cm3

Tags

CCSS.HSG.MG.A.2

There are approximately 17,620 people per square mile in New York City. If New York City is 468 square miles, approximately how many people live in New York City?

• 10,000,000

• 8,246,160

• 4,365,111

• 56,778,112

A cup of sugar has a volume of 237 ml. What is the mass of the cup of sugar if the density is 1.59 g/ml?

• 376.83 g

• 149.07 g

• 0.007 g

• 0.785 g

Tags

CCSS.HSG.MG.A.2

In 2018, Augusta had a population of 196,807. Augusta has a land area (not including water areas) of 306.2 square miles. What was the population density in 2018? ______ people per square mile (round to the nearest whole person).

Tags

CCSS.6.RP.A.3B

A circular petri dish has a radius of 3 cm. Sierra counts 95 bacteria in the petri dish when she examines it under a microscope. What is the density of the bacteria per square centimeter? (round to the tenths place, type in number only)

Tags

CCSS.HSG.C.B.5

A spherical balloon with a 10" diameter is filled with 0.3 grams of helium. What is the density of helium in the balloon? Round to the hundred thousandths, type number only

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Perimeter of a rectangle patio is 84 feet. What are the dimensions of the largest possible area?

• 21

• 84

• 42

• None of the above

Tags

CCSS.8.EE.C.7B