Student:
Class:
Date:
Real numbers
Block 9 Student Activity Sheet
1. What will the cube root of the volume of a cube tell you about the cube?
2. What is the cube root symbol?
3. REINFORCE What is the
3
x 3 ? How do you say that expression?
Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
Center, The University of Texas at Austin
Page 1 of 4
With space for student work
Student:
Class:
Date:
Real numbers
Block 9 Student Activity Sheet
4. Fill out the following table.
Sketch of cube
Product of the
dimensions of the cube
Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
Center, The University of Texas at Austin
Volume of cube
Page 2 of 4
With space for student work
Side length of cube
expressed as a
cube root
Student:
Class:
Date:
Real numbers
Block 9 Student Activity Sheet
5. REINFORCE Which is greater, the cube root of 64 or the square root of 64? Explain.
6. REINFORCE Is there a positive number for which the square root and cube root are
equivalent?
7. REINFORCE Solve the following cube roots.
a.
3
27 =
b.
3
c.
216 =
3
1=
8. REINFORCE Calculate the following values.
a.
(–3)3 =
b. (–5)3 =
c.
(–8)3 =
d. (3)3 =
e.
(5)3 =
f. (8)3 =
9. REINFORCE Find the following cube roots.
a.
3
−216 =
b.
3
−8 =
c.
3
−64 =
Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
Center, The University of Texas at Austin
Page 3 of 4
With space for student work
d.
3
1000 =
Student:
Class:
Date:
Real numbers
Block 9 Student Activity Sheet
10. REINFORCE A cube-shaped room has a capacity of 1728 cubic feet.
a. What are the dimensions of the room?
b. How many square feet of carpet are required to cover the floor?
c. The owners would like to paint just the four walls of the room, not including the
ceiling. They need to buy enough paint to cover how much area?
Copyright 2015 Agile Mind, Inc. ®
Content copyright 2015 Charles A. Dana
Center, The University of Texas at Austin
Page 4 of 4
With space for student work