Quarter 3, HW #37 - Quizizz - Modeling with Density

When filled with butane, the storage tank pictured below contains approximately 113,097 BTUs of energy. How many BTUs of energy are contained in one cubic foot of butane?

Energy = ____ BTUs

Round to the nearest whole number.

Answer explanation

The territory of a small town can be modeled by a rectangle with dimensions 4 miles and 12.5 miles. If the town has a population of 19,850, then what is its population density? 

Population Density = ____ ppl/mi²

Answer explanation

What solid figure can be formed by this net?

• Cube
• Hexagonal Pyramid
• Octagonal Pyramid 
• Cone

What shape does this cross section make?

• Rectangle
• Circle
• Triangle
• Square

The density of water is 997 kg/m cubed. If the volume of a glass of water is 83 cubic meters, what is the mass? (Hint, how many kg?)

• 12.0 kg

• 1,080 kg

• 12,914 kg

• 82,751 kg

Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume.

Who is correct?

• Jenny because Cavalieri's Principle only applies to shapes that are the same.

• Renee because the area of the cross sections and the height of the shapes are the same.

• Neither Jenny or Renee is correct.

Find the volume of that the triangle would make when rotated around line m.

• 3

• 37.7

• 18.8

• 12.6

One cubic foot of propane contains 2550 Btu of energy. How many Btu will be contained in the storage tank below if it is completely filled with propane?

• 432597 BTUs

• 275400 BTUs

• 137700 BTUs

• 144199 BTUs

Answer explanation

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