Volume of Prisms and Cylinders Review

Volume of Prisms and Cylinders Review

By Kari Raymond

Poll

How are you feeling about finding the volume of prisms and cylinders?

• I completely understand! Confidence level = 4

• I think I get it! Confidence Level = 3

• I am still working on it- must have my notes present.

  Confidence Level = 2

• I don't understand at all.

  Confidence Level = 1

Since the Base is a circle we use the Area formula for a circle of A = π​ r²

Multiply it by the height.​

Cylinder V = π r² h

Find the Base Area by using the appropriate area formula for the shape.

Multiply it by the height.​

Prism V = Bh

Volume Formulas

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Review of Area Formulas

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Multiple Choice

Find the volume of the rectangular prism.

• 55 yd³

• 121 yd³

• 22 yd³

• 330 yd³

Multiple Choice

Find the volume of the solid shown in the figure. Round to the nearest whole number.

• 7230

• 6621

• 1131

• 907

Multiple Choice

Find the volume of the figure. Round to the nearest tenth.

• 80 cm³
• 40 cm²
• 80 cm²
• 40 cm³

Multiple Choice

Find the Volume of the triangular prism.

V = (base area)(height)

• 960 cm ³

• 240 cm ³

• 1920 cm ³

• 400 cm ³

Multiple Choice

Find the volume of the figure.

• 63 cm³
• 91 cm³
• 819 cm³
• 409.5 cm³

Multiple Choice

Find the volume of the cylinder. Round to the nearest whole number.

• $$90\ m^3$$  

• $$1696\ m^3$$  

• $$565\ m^3$$  

• $$283\ m^3$$  

Multiple Choice

What is the volume of this prism?

• 20720
• 14263.5
• 10360
• 13364

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Which cylinder will have a larger volume?

• Cylinder A
• Cylinder B

Multiple Choice

This trough is filled with water.  If 1 cubic foot holds  7.5 gallons, how much water will fill the trough?

• 21.5 gallons
• 112.5 gallons
• 133 gallons
• 150 gallons

Poll

Now.....how are you feeling about finding the volume of prisms and cylinders?

• I completely understand! Confidence level = 4

• I think I get it! Confidence Level = 3

• I am still working on it- must have my notes present.

  Confidence Level = 2

• I don't understand at all.

  Confidence Level = 1

Volume of Composite Figures

This type of problem involves finding the volume of the larger solid and subtracting the volume of the smaller solid.

Subject | Subject

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This type of problem involves finding the volume of the various solids and adding them together.

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Volume of Composite Figures

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Multiple Choice

Find the volume of the composite figure.

• $$616\ ft^3$$

• $$224\ ft^3$$

• $$210\ ft^3$$

• $$630\ ft^3$$

Multiple Choice

Find the volume of the composite figure.

• 750 ft³

• 625 ft³

• 93,750 ft³

• 450 ft³

This type of problem involves finding the volume of the larger solid and subtracting the volume of the smaller solid.

​

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Volume of Composite Figures

​

Multiple Choice

Find the volume of the composite solid.
Use 3.14 for pi.

• 188.4 m³
• 753.6 m³

Multiple Choice

Find the volume of the composite figure.

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

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

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

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