WORKSHEET ON CUBE ROOTS
Evaluate each of the following:
|
1) ∛-27 2) ∛1/8 3) ∛27 4) - ∛1/64 5) ∛-8/27 |
6) ∛-1000 7) ∛-27/64 8) -∛-64 9) ∛-1/125 |
Answer Key
|
1) -3 2) 1/2 3) 3 4) -1/4 5) -2/3 |
6) -10 7) -3/4 8) 4 9) -1/5 |
Evaluate :
|
1) ∛1 2) ∛-1 3) ∛-27 4) ∛8 5) ∛-8 |
6) ∛64 7) ∛125 8) ∛-216 9) ∛-1000 10) ∛343 |
Answer Key
|
1) 1 2) -1 3) -3 4) 2 5) -2 |
6) 4 7) 5 8) -6 9) -10 10) 7 |
Evaluate :
|
1) ∛(1/125) 2) ∛(-8/27) 3) ∛343/64 4) -∛1 91/125 5) ∛(1/64) |
6) ∛3 3/8 7) ∛-216 8) ∛27/125 9) - ∛(343/1000) 10) ∛729/64 |
Answer Key
|
1) 1/5 2) -2/3 3) 7/4 4) -6/5 5) 1/4 |
6) 3/2 7) -6 8) 3/5 9) -7/10 10) 9/4 |
Problem 1 :
Calculate the volume of the cube if its surface is 150 cm².+
Problem 2 :
The cube has a surface of 600 cm². What is its volume?
Problem 3 :
We make a box in the shape of a cube with an edge of 12 cm. how many cm² of sheet metal do we need to create a box if we do not make the lid?
Problem 4 :
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube.
Answer Key
1) V = 125 cm³
2) V = 1000 cm³
3) S = 720 cm²
4) V = 8000 cm³
Problem 1 :
What least number is to be multiplied with 3087 in order to get a perfect cube?
Problem 2 :
What is the least number by which 12800 should be divided in order to get a perfect cube?
Problem 3 :
Find the smallest common multiple of 48, 72 and 32 that is a perfect cube.
Problem 4 :
By which least number should 72000 be multiplied such that the result is a perfect cube?
Problem 5 :
By which least number should 171500 be divided such that the result is a perfect cube ?
Answer Key
1) 3
2) 25
3) 6
4) 3
5) 2
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