Question
The volume of a cubical box is 64 cm3. Which of the following is its side?
- 2 cm
- 4 cm
- 6 cm
- 8 cm
Hint:
The total number of cubic units that the cube totally occupies is the definition of a cube's volume. A cube is a solid three-dimensional object with six square faces. Here we have given the volume of the cubical block and we have to find the dimension of the cube.
We will use the concept of cubes and cube roots to solve this question.
The correct answer is: 4 cm
We have given that the volume of the cubical block is 64 cubic centimeters. Here we will use the concept of cube roots, which says that a number's cube root is a quantity that, when multiplied by itself three or more times, returns the original quantity.
For example: 
Now we have the volume of the cube as:
So the dimension of the cubical block is 4 cm.
In this question, we have given a cubical block of 64 cubic centimeters and we had to find the value of the dimensions of the cube. So we used the concept of the cube roots and volume of cube to find the dimension and the dimension of the cube is 4 cm.
Related Questions to study
If the digit in one’s place of a number is 2, then the last digit of its cube will be:
Here in this question we were asked to find the last digit of the number, given that the unit digit of the number is 2. We should take care while understanding that last digit means unit place/one's place in order to find the correct answer.
If the digit in one’s place of a number is 2, then the last digit of its cube will be:
Here in this question we were asked to find the last digit of the number, given that the unit digit of the number is 2. We should take care while understanding that last digit means unit place/one's place in order to find the correct answer.
Which of the following is correct?
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In this question we were given 4 numbers out of which we have to find the smallest 4-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 1024 was found to be the smallest 4-digit perfect square.
Which is the smallest 4-digit perfect square?
In this question we were given 4 numbers out of which we have to find the smallest 4-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 1024 was found to be the smallest 4-digit perfect square.
Which is the greatest three-digit perfect square?
In this question we were given 4 numbers out of which we have to find the greatest three-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 961 was found to be the greatest three-digit perfect square.
Which is the greatest three-digit perfect square?
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using positive exponent
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