Volume of Prisms and Cylinders Explained

The video tutorial covers the concept of volume for three-dimensional objects, focusing on prisms and cylinders. It introduces Cavalieri's principle, explains how to calculate the volume of different types of prisms, including rectangular and triangular prisms, and discusses the volume of cylinders. The tutorial also addresses the calculation of volume for composite figures, providing methods to find the volume by adding or subtracting volumes of simpler shapes.

What principle states that figures with the same height and cross-sectional area have the same volume?

• Pythagorean Theorem

• Cavalieri's Principle

• Archimedes' Principle

• Euler's Formula

How do you calculate the volume of a rectangular prism?

• Length + Width + Height

• Length x Width x Height

• Length - Width - Height

• Length / Width / Height

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CCSS.7.G.B.6

What changes when a rectangular prism is rotated?

• Lateral Area

• Base Area

• Height

• Volume

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CCSS.8.G.A.3

How is the volume affected when the base of a prism changes?

• Volume remains the same

• Volume increases

• Volume decreases

• Cannot be determined

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CCSS.7.G.B.6

What formula is used to calculate the volume of a prism with equilateral triangular bases?

• Area of the base - Height

• Area of the base x Height

• Area of the base + Height

• Perimeter of the base x Height

Tags

CCSS.7.G.B.6

What is the volume formula for a cylinder?

• PI x Radius^2 x Height

• PI x Radius x Height

• 2 x PI x Radius x Height

• PI x Radius + Height

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you convert cubic meters to cubic centimeters?

• Multiply by 100

• Multiply by 1000

• Multiply by 10000

• Multiply by 100 cubed

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CCSS.2.MD.A.2

What is the volume of a cylinder with a radius of 3 cm and height of 8 cm, in terms of pi?

• 24 PI cubic centimeters

• 64 PI cubic centimeters

• 72 PI cubic centimeters

• 36 PI cubic centimeters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the base shape of a cylinder?

• Triangle

• Square

• Rectangle

• Circle

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CCSS.7.G.A.3

What method can be used to find the volume of a composite figure?

• Add the volumes of the individual figures

• Subtract the volumes of the individual figures

• Multiply the volumes of the individual figures

• Divide the volumes of the individual figures

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CCSS.5.MD.C.5C