Cavalieri's Principal & Density Quiz 9

Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

• True

• False - the cross sectional areas are not relevant

• False - only the slant height is relevant

• False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

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

• Renee

• Neither Jenny or Renee is correct.

Tags

CCSS.7.G.B.6

A 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

Calculate the density of the prism if its mass is 21 grams.

• 0.33 g/cm³

• 0.4 g/cm³

• 0.6 g/cm³

• 0.5 g/cm³

Tags

CCSS.HSG.MG.A.2

A student knows the mass of an object. What other variable does the student need to know to calculate the object's density?

• Color
• Weight
• Volume
• Length

Tags

CCSS.HSG.MG.A.2

Material of density of 762 kg/m³ occupies a container volume of 99 cm³. What is its mass?

• 75438 kg

• 7.70 kg

• 0.13 kg

• 6858 kg

Tags

CCSS.HSG.MG.A.2

If the density of a diamond is 3.5 g/cm³ , what would be the mass of a diamond whose volume is .5 cm³?

• 1.75 g

• 7 g

• 0.14 g

• 4 g

Tags

CCSS.HSG.MG.A.2

If a 96.5 g piece of aluminum has a density of 2.7 g/cm³, what is its volume?

• 35.7 cm³

• 260.55 cm³

• 0.03 cm³

• 99.2 cm³

Tags

CCSS.HSG.MG.A.2

If you have a gold brick that is 2 cm by 3 cm by 4 cm and has a density of 19.3 g/cm³, what is its mass?

• 463.2 g/cm³
• 463.2 g
• 0.804 kg
• 0.804 g

Tags

CCSS.HSG.MG.A.2

CCSS.HSN.Q.A.1

Which principal states that if two objects have the same height and each cross-sectional area is the same, then the volumes will be equal?

• Cavelieri's Principal

• Hepworth's Principal

• Ketchen's Principal

• Vanderwerf's Principal

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3