Volumes of Prisms & Cylinders

Volumes of Prisms & Cylinders

Geometry Unit 11

Example 1:

• Area of base = l*w = 2*3 =6

• Base area x height = 6*6

• = 36 ft³

Multiple Choice

• 55 yd³
• 121 yd³
• 22 yd³
• 330 yd³

Multiple Choice

A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

• 10250 cm3
• 11250 cm3
• 11250 ft3
• 10250 ft3

Example 2:

• Area of base= .5*(b1 + b2)*h

• =.5*(8 + 14)*4

• =44

• Volume= Base area * height

• =44*10

• =440 cm³

Multiple Choice

What shape is the base? What is the area of the base (B)?

• Rectangle; 60in²
• Triangle; 12 in²
• Rectangle; 32 in²
• Triangle; 6 in²

Multiple Choice

Find the volume:

• 960 cm ³
• 240 cm ³
• 960 cm ²
• 1920 cm ³

Example 3:

• Base Area = $\pi r^2$  =  $\pi\cdot7^2\ =\ 49\pi$  

• Volume = Base Area * height =  $49\pi\cdot12$  

• =  $588\pi\ cm^3$ 

Multiple Choice

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. 

• 16.4 cm³
• 31.7 cm³
• 31.4 cm³
• 22.0 cm³

Multiple Choice

Find the volume of the cylinder.

• 4239
• 1696
• 1130
• 565

Open Ended

It's break time, so this slide will act as your 10 minute timer. As you see the time running out, make sure you get back to class!!!