Geometric Modelling

Which box has a higher density?  

• Box A
• Box B
• cannot be determined
• they are the same

Tags

CCSS.HSG.MG.A.2

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

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A restaurant owner purchased some salt that was in a cylindrical container with a diameter of 3.2 inches and a height of 5.4 inches. The container was full. Approximately, how many salt shakers can she expect to fill with the purchased salt, if the salt shakers are also cylinders with a diameter of 1.2 inches and a height of only 3 inches?

• 7

• 11

• 13

• 16

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Frank and Kelly both purchased the same type mulch to be used in a garden. They both spent exactly $60 each on mulch.

Frank purchased loose mulch in which a truck dumped it in his driveway as shown in the picture.

Kelly purchased 16 bags of mulch and each bag contains 3 cubic feet of mulch.

Which person got the got a better deal for the money spent?

• Frank got the better deal.

• Kelly got the better deal.

• They both got the same amount.

• There is not enough information to determine who got the better deal.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Use the dimensions provided in the aerial diagram of her store’s parking lot shown at the right to determine how many people the lot could hold if each person would require a minimum of 2.5 square feet.

• 560

• 890

• 1440

• 2400

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

A snowman is created by creating two spheres directly on top of one another. The base sphere has a circumference of 113 inches and the top sphere has a circumference of 88 inches.

Approximately, how tall is the snowman in inches not including his hat?

• 32

• 46

• 64

• 70

Tags

CCSS.7.G.B.4

Jeff has to replace the roof on his house. His roof is approximately a square based pyramid.

A roofer said he charges $5 per square foot of roof that he replaces. To the nearest hundred dollars, how much can Jeff expect to pay the roofer to replace the roof on his house?

• $1800

• $3300

• $5400

• $9900

Tags

CCSS.7.G.B.6