Cavalieri's Principle & Volume of Composite Figures

Which 3D Figures make up the following composite solid.

• Sphere

• Cylinder

• Pyramid

• Rectangular Prism

Tags

CCSS.1.G.A.2

Which 3D Figures make up the following composite solid.

• Cone

• Cylinder

• Pyramid

• Rectangular Prism

Tags

CCSS.1.G.A.2

Find the volume of the composite space figure.

• $V\ =5,500\ +\ 90\pi\ \cong5,782.7\ m^3$

• $V\ =\ 5,760\ +\ 90\pi\ \cong\ 6,042.7\ m^3$

• $V\ =\ 5,760\ +\ 360\pi\ \cong6,891\ m^3$

• $V\ =\ 5,760\ -\ 90\pi\ \cong\ 5,477.2\ m^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of the composite figure.

• $V\ =\ 594\ +\ 114.4\pi\cong\ 953.4\ mm^3$

• $V\ =594\ -\ 114.4\pi\ \cong234.6\ mm^3$

• $V\ =\ 594\ +\ 445.5\pi\ \cong\ 1,993.6\ mm^3$

• $V\ =\ 594\ -\ 445.5\pi\ \cong283\ mm^3$

Tags

CCSS.5.MD.C.5C

Find the volume of the composite figure.

• $V\ =\ 1,728\ +\ 12\pi\ \cong1,765.7\ mm^3$

• $V\ =\ 1,728\ -\ 48\pi\ \cong\ 1,577.2\ mm^3$

• $V\ =\ 1,728\ -12\pi\ \cong1,690.3\ mm^3$

• $V\ =\ 1,728\ +\ 48\pi\ \cong1,878.8\ mm^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of the composite figure.

• $V\ =\ 216\ -\ 8\pi\ \cong190.9\ cm^3$

• $V\ =216\ +\ 8\pi\ \cong241.1\ cm^3$

• $V\ =216\ +\ 96\pi\ \cong\ 517.6\ cm^3$

• $V\ =\ 144\ -24\pi\ \cong68.6\ cm^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Which equation would you use to find the volume of this composite figure? 

• 8³ + ⁴/₃π(8)³
• 8³ + ⁴/₃π(4)³
• 8³ + (¹/₂)(⁴/₃)π(4)³

Tags

CCSS.5.MD.C.5C

Which equation would you use to find the volume of this composite figure?

• π(2)²(8) + ⁴/₃π(2)³
• π(2)²(4) + ⁴/₃π(2)³

Tags

CCSS.5.MD.C.5C

What is the volume of the solid shown below?

• $225\ in^3$

• $255\ in^3$

• $285\ in^3$

• $360\ in^3$

Tags

CCSS.5.MD.C.5C

What is the volume of this figure?

• 24.6 yd^3

• 12.75 yd^3

• 27.5 yd^3

• 25.5 yd^2

Tags

CCSS.5.MD.C.5C