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

Question 1

What solid figure can be formed by this net?

Accepted Answer

Cone

Answer

Cube

Answer

Hexagonal Pyramid

Answer

Octagonal Pyramid

Question 2

What shape does this cross section make?

Accepted Answer

Rectangle

Answer

Circle

Answer

Triangle

Answer

Square

Question 3

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?)

Accepted Answer

82,751 kg

Answer

12.0 kg

Answer

1,080 kg

Answer

12,914 kg

Question 4

Problem #32a

MODELING REAL LIFE: The density of d of a substance is given by the formula $$d=\frac{m}{V}$$ , where m is its mass and V is its volume.

a. Solve the formula for each of the other two variables.

Accepted Answer

$$m=dV;\ V=\frac{m}{d}$$

Answer

$$m=\frac{d}{V};\ V=\frac{m}{d}$$

Answer

$$m=dV;\ V=md$$

Answer

$$m=\frac{V}{d};\ V=\frac{m}{d}$$

Question 5

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?

Accepted Answer

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

Answer

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

Answer

Neither Jenny or Renee is correct.

Question 6

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

Accepted Answer

12.6

Answer

3

Answer

37.7

Answer

18.8

Question 7

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?

Accepted Answer

432597 BTUs

Answer

275400 BTUs

Answer

137700 BTUs

Answer

144199 BTUs

Question 8

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?

Accepted Answer

1353

Answer

57148

Answer

208

Answer

135

Question 9

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?