Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Multiple Choice

The volume formulas of a cylinder and prism are the SAME.

• True

• False

Multiple Choice

The volume formula of a prism is...

• V = 2Bh

• V = ½Bh

• V = Bh

• V = Bh²

Multiple Choice

The volume formula of a cylinder is...

• V = πr²

• V = Bhπ

• V = Bh

• V = πh²

Prisms and cylinders have different bases...

• Prism (triangle, square, rectangle, etc.)

• Cylinder (circle)

Multiple Choice

What is the volume of this prism?

• 168 m³

• 280 m³

• 224 m³

• 112 m³

Solution

 $V=Bh$  
 $V=\left(4\cdot7\right)\left(8\right)$ 
 $V=224\ m^3$  

Multiple Choice

What is the volume of this prism?

• 240 cm³

• 480 cm³

• 288 cm³

• 576 cm³

Solution

 $V=Bh$  
 $V=\frac{1}{2}\left(6\cdot8\right)\cdot12$ 
 $V=24\cdot12$  
 $V=288\ cm^3$  

Multiple Choice

What is the volume of this cylinder?

• 42π in³

• 21π in³

• 63π in³

• 84π in³

Solution

 $V=Bh$  
 $V=π\left(3\right)^2\cdot7$ 
 $V=9π\cdot7$  
 $V=63π\ in^3$