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

Some text here about the topic of discussion

Review of Area Formulas

Some text here about the topic of discussion

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 Blank

What is the Volume of this prism?

Volume = _____ in³

Fill in the Blank

Find the volume of the hexagonal prism.

Volume = ______ ft³

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

Some text here about the topic of discussion

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

​Some text here about the topic of discussion.

Volume of Composite Figures

​

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.

​

​Some text here about the topic of discussion.

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.

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

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

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

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