AnswersFall 24 GMS Geometry Concepts and Connections BCavalieri's Principle and Volume of Composite FiguresQuestion 10
10
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Cavalieri's Principle and Volume of Composite Figures

Question 10 • Fall 24 GMS Geometry: Concepts and Connections B

Complete the steps to calculate the density of the steel.

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

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