Volume of Prisms and Cylinders

Which of the following could be the measurement unit of volume?  Select all that apply.

• 
  

   $cm$  
  

•  $ft^2$  

•  $yd^3$  

•  $cm^3$  

•  $mi^3$  

A rectangular prism has a base with dimensions of 3 yd and 8 yd. The height of the prism is 12 yd. What is the volume of the prism?

• 
  

  $132\ yd^3$
  

• $144\ yd^3$

• $288\ yd^3$

• $576\ yd^3$

If a cube has a side length of 3 inches, then its volume must be  $9\ in^3.$  

• True

• False

What is the volume of the triangular prism shown?

• 
  

  $720\sqrt{3}\ cm^3$
  

• $2880\ cm^3$

• $240\ cm^3$

• $1440\sqrt{3}\ cm^3$

The volume of the triangular prism shown is (a)     $cm^3.$  

The volume of the trapezoidal prism is (a)     $cm^3.$  (If necessary, round your answer to two decimal places.)

A cylinder has a radius of 2 in and a height of 10 in. What is the volume of the cylinder?

• 
  

  $40\pi\ in^3$
  

• $160\pi\ in^3$

• $20\pi\ in^3$

• $40\ in^3$

The volume of a cylinder is $27\pi\ ft^3$ and the radius and height of the cylinder are equal.  What is the radius of the cylinder?   

• 1.5 ft

• 2 ft

• 3 ft

• 4 ft

Challenge Question. Round your answer to two decimal places.
The volume of the trapezoidal prism is (a)     $cm^3.$  

True of False: A cylinder is a prism.

• True

• False