Cavalieri's Principle and Volume of Composite Figures

Question 1

Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

Revolt · Accepted Answer

[Image: A rectangular prism is shown. The rectangle has si...]

Question 2

Which statements about the composite figure are true? Check all that apply.

Revolt · Accepted Answer

The composite figure consists of two rectangular pyramids.; The total volume is 45 units3.

Question 3

⇒ 17.1

Revolt · Accepted Answer

17.1

Question 4

Which expression represents the volume of the composite figure?

Revolt · Accepted Answer

(2)(4.4)(5) + (2)(4.4)(3.9)

Question 5

Question 5

Revolt · Accepted Answer

105

Question 6

Complete the steps to calculate the density of the steel.

Revolt · Accepted Answer

Calculate the volume of the prism. Recall that the area of a hexagon is times the apothem times the perimeter. V = cm3: 0.45; Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3: 0.06; Find the volume of the composite figure. V = cm3: 0.39; Calculate the density by dividing the mass by the volume. d = g/cm3: 7.77

Question 7

Complete the statements about the two cones.

Revolt · Accepted Answer

✔ a = b; The volumes of the cones are equal when .: a = b; If a > b, then the cross-sectional area of cone A is the cross-sectional area of cone B at every level parallel to their respective bases.: greater than

Question 8

equal toless than✔ greater than

Revolt · Accepted Answer

✔ greater than

Question 9

It costs the same to produce both packages, so the company wants to reduce the amount of wasted space, or space not taken by the balls. Which package should the company choose?

Revolt · Accepted Answer

the cylinder because it has about 27.5 in.3 less wasted space than the prism

Question 10

Complete the steps to calculate the density of the steel.

Revolt · Accepted Answer

✔ 0.45; Calculate the volume of the prism. Recall that the area of a hexagon is times the apothem times the perimeter. V = cm3: 0.45; Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3: 0.06; Find the volume of the composite figure. V = cm3: 0.39; Calculate the density by dividing the mass by the volume. d = g/cm3: 7.77

Cavalieri's Principle and Volume of Composite Figures Answers

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