Module 6 Day 4 Live Practice

Module 6 Day 4 Live Practice

Corrected and complete work will need to be attached in the GClassroom for today's grade!

Multiple Choice

1. What is the volume of the pyramid that has a square base with sides of length 6 and a height of 3?

• 108 cubic units

• 9 cubic units

• 24 cubic units

• 36 cubic units

Volume of a Pyramid = 

 $\frac{B\cdot h}{3}=\ \frac{\left(l\cdot w\right)\cdot h}{3}$   

 $\frac{\left(6\cdot6\right)\cdot3}{3}=\ 36\ cubic\ units$  

Multiple Choice

2a. What is the volume in terms of  $\pi$   ?

• 24 $\pi$  cubic feet

• 192 $\pi$  cubic feet

• 48 $\pi$  cubic feet

• 576 $\pi$  cubic feet

Volume of a Cone = $\frac{\pi\cdot r^2\cdot h}{3}$  

 $\frac{\pi\cdot8^2\cdot9}{3}=192\pi$  

Multiple Choice

2b . What is the volume of the cone, as a decimal estimate?

• 192 cubic feet

• 576 cubic feet

• 602.9 cubic feet

• 226.1 cubic feet

Volume of the Cone as a decimal estimate = $\frac{\left(3.14\right)\cdot8^2\cdot9}{3}\ =602.88\ \approx602.9$  

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Multiple Choice

3. What is the volume of Solid A?

• 168 cubic units

• 504 cubic units

• 24 cubic units

• 189 cubic units

For Solid B, the radius is found by using the Pythagorean Theorem:

 $r^2+4^2=5^2\rightarrow r^2+16=25$  

 $r^2\ =\ 9\rightarrow r=\sqrt{9}$  or radius = 3

Multiple Choice

3. What is the volume of Solid B?

• 37.7 cubic units

• 47.1 cubic units

• 20 cubic units

• 171.5 cubic units

Multiple Choice

Which Solid has the larger volume?

• Solid A

• Solid B

Solid A Has the Larger Volume.......

• Solid A Volume =

   $\frac{8\cdot9\cdot7}{3}=\ 168\ cubic\ units$  

• Solid B Volume =  $\frac{\left(3.14\right)\cdot3^2\cdot4}{3}=\ 37.7\ cubic\ units$  

The End! Be sure to attach the problems in the GClassroom and HW 6.2 has been assigned

Don't forget to check out the Extra Credit Opportunity for February Break