Scroll:Numbers >> Cube roots >> saq (4110)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

What is the cube root of 1


Answer:_______________




2)  

What is 3 64 


Answer:_______________




3)  

What is the cube root of 512


Answer:_______________




4)  

What is 3 0 


Answer:_______________




5)  

What is the cube root of 27


Answer:_______________




6)  

What is 3 1 


Answer:_______________




7)  

What is the cube root of 1728


Answer:_______________




8)  

What is 3 216 


Answer:_______________




9)  

What is the cube root of 2744


Answer:_______________




10)  

What is 3 729 


Answer:_______________




 

1)  

What is the cube root of 1

Answer: 1


SOLUTION 1 :

Remember:  

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 8 is a perfect cube because 2 × 2 × 2 = 8. The cube root of a perfect cube is always an integer.

Solve:

You want to find the cube root of 1, so figure out which number cubed (multiplied by itself, and then multiplied by itself again) equals 1.

The number 1 cubed equals  1.

13 = 1 × 1 × 1 = 1.

So the cube root of 1 is 1.



2)  

What is 3 64 

Answer: 4


SOLUTION 1 :

Remember:  

 

 

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 125 is a perfect cube because 5 × 5 × 5 = 125. The cube root of a perfect cube is always an integer.

Solve;

You want to find so figure out which number cubed ( multiplied by itself,and the nmultiplied by it self again)  equa ls 4.
The number 4 cubed equals 64.
 

 43 4 x 4 x 4 = 64

So , 3 64  is 64



3)  

What is the cube root of 512

Answer: 8


SOLUTION 1 :

Remember:  

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 8 is a perfect cube because 2 × 2 × 2 = 8. The cube root of a perfect cube is always an integer.

Solve:

You want to find the cube root of 512, so figure out which number cubed (multiplied by itself, and then multiplied by itself again) equals 512.

The number 8 cubed equals  512.

83 = 8 × 8 × 8 = 512.

So the cube root of 512 is 8.



4)  

What is 3 0 

Answer: 0


SOLUTION 1 :

Remember:  

 

 

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 125 is a perfect cube because 5 × 5 × 5 = 125. The cube root of a perfect cube is always an integer.

Solve;

You want to find so figure out which number cubed ( multiplied by itself,and the nmultiplied by it self again)  equa ls 0.
The number 0 cubed equals 0.
 

 03 0 x 0 x 0 = 0

So , 3 0  is 0



5)  

What is the cube root of 27

Answer: 3


SOLUTION 1 :

Remember:  

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 8 is a perfect cube because 2 × 2 × 2 = 8. The cube root of a perfect cube is always an integer.

Solve:

You want to find the cube root of 27, so figure out which number cubed (multiplied by itself, and then multiplied by itself again) equals 27.

The number 3 cubed equals  27.

33 = 3 × 3 × 3 = 27.

So the cube root of 27 is 3.



6)  

What is 3 1 

Answer: 1


SOLUTION 1 :

Remember:  

 

 

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 125 is a perfect cube because 5 × 5 × 5 = 125. The cube root of a perfect cube is always an integer.

Solve;

You want to find so figure out which number cubed ( multiplied by itself,and the nmultiplied by it self again)  equa ls 1.
The number 1 cubed equals 1.
 

 13 1 x 1 x 1 = 1

So , 3 1  is 1



7)  

What is the cube root of 1728

Answer: 12


SOLUTION 1 :

Remember:  

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 8 is a perfect cube because 2 × 2 × 2 = 8. The cube root of a perfect cube is always an integer.

Solve:

You want to find the cube root of 1728, so figure out which number cubed (multiplied by itself, and then multiplied by itself again) equals 1728.

The number 12 cubed equals  1728.

123 = 12 × 12 × 12 = 1728.

So the cube root of 1728 is 12.



8)  

What is 3 216 

Answer: 6


SOLUTION 1 :

Remember:  

 

 

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 125 is a perfect cube because 5 × 5 × 5 = 125. The cube root of a perfect cube is always an integer.

Solve;

You want to find so figure out which number cubed ( multiplied by itself,and the nmultiplied by it self again)  equa ls 6.
The number 6 cubed equals 216.
 

 63 6 x 6 x 6 = 216

So , 3 216  is 216



9)  

What is the cube root of 2744

Answer: 14


SOLUTION 1 :

Remember:  

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 8 is a perfect cube because 2 × 2 × 2 = 8. The cube root of a perfect cube is always an integer.

Solve:

You want to find the cube root of 2744, so figure out which number cubed (multiplied by itself, and then multiplied by itself again) equals 2744.

The number 14 cubed equals  2744.

143 = 14 × 14 × 14 = 2744.

So the cube root of 2744 is 14.



10)  

What is 3 729 

Answer: 9


SOLUTION 1 :

Remember:  

 

 

Taking the cube root ( 3   is the inverse of cubing. for example, 3  125 = 5 since 125 = 53

 

 A perfect cube is the result when an integer is multiplied by itself, and then multiplied by itself again. For example, 125 is a perfect cube because 5 × 5 × 5 = 125. The cube root of a perfect cube is always an integer.

Solve;

You want to find so figure out which number cubed ( multiplied by itself,and the nmultiplied by it self again)  equa ls 9.
The number 9 cubed equals 729.
 

 93 9 x 9 x 9 = 729

So , 3 729  is 729