Modeling With Area and Volume

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?

• 17,620
• 8,246,160
• 37
• .027

Tags

CCSS.HSG.MG.A.2

A city has a population of 8792 people. The area of the city is approximately 6.5 square miles. Approximately, how many people per square mile live in the city?

• 57148
• 208
• 1353
• 135

Tags

CCSS.6.RP.A.3B

Joey finds a treasure chest packed with metallic coins. The chest has a volume of 1.5 m³ .The coins have a total mass of 16,950 kg. Hoping to find gold, he calculates the density to determine the metal of the coins.

• Bronze (8700 Kg/m³)
• Silve (10,500 Kg/m³)
• Lead (11,300 Kg/m³)
• Gold (19,300 Kg/m³)

Tags

CCSS.HSG.MG.A.2

As of 2015, the most densely populated state in the US was New Jersey. The 2015 population of New Jersey was 8,957,907 people with 1218.1 people per square mile. Which choice is the approximate land area of the state of New Jersey to the nearest square mile?

• 7135 sq. mi.
• 7354 sq. mi
• 10912 sq. mi.
• 12354 sq. mi.

Tags

CCSS.HSG.MG.A.2

Ninety-eight cut boulders are being brought in to help prevent further erosion on a portion of this coastline. Each boulder has been roughly cut into a cube with sides of length 0.8 meters. The stone in the boulders has an average density of 3000 Kg/m³. A dump truck with a carrying capacity of 28,000 pounds is used to transport the boulders to the coastline. How many trips will the truck need to make to transport all of the boulders? Assume the truck does not exceed its carrying capacity. 

• 11
• 12
• 13
• 14

What is the surface area of the cylinder to the nearest square inch? 

• 625 in²
• 1300 in²
• 1046 in²
• 414 in²

Tags

CCSS.7.G.B.6

Describe the cross section.

• circle
• oval
• semi-circle
• trapezoid

Tags

CCSS.7.G.A.3

Describe the cross section.

• rectangle
• square
• parallelogram
• circle

Tags

CCSS.7.G.A.3

Describe the cross section.

• rectangle
• trapezoid
• oval
• parallelogram

Tags

CCSS.7.G.A.3

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

• 7 mL
• 7 g/cm³
• 28 g/cm³
• 1/7 g/cm³

Tags

CCSS.HSG.MG.A.2