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What is the cube of 4?- a)16
- b)32
- c)64
- d)256
Correct answer is option 'C'. Can you explain this answer?
a)
16
b)
32
c)
64
d)
256
|
Sahana Singh answered |
Understanding Cubes
The concept of "cubes" in mathematics refers to raising a number to the power of three. This means multiplying the number by itself twice. For example, the cube of a number "n" is represented as n³ = n × n × n.
Calculating the Cube of 4
To find the cube of 4, we perform the following calculation:
- Step 1: Multiply 4 by itself:
4 × 4 = 16
- Step 2: Multiply the result by 4 again:
16 × 4 = 64
Thus, the cube of 4 is:
4³ = 64
Answer Options Breakdown
Let's examine the provided answer options:
- a) 16: This is 4 squared (4 × 4) but not the cube.
- b) 32: This does not correspond to any of the calculations for the cube of 4.
- c) 64: This is the correct answer as calculated above.
- d) 256: This is 4 raised to the power of 4 (4 × 4 × 4 × 4), not the cube.
Conclusion
The correct answer is option C: 64, which is the cube of 4. Understanding the concept of cubes helps in various mathematical applications, including geometry and algebra.
The concept of "cubes" in mathematics refers to raising a number to the power of three. This means multiplying the number by itself twice. For example, the cube of a number "n" is represented as n³ = n × n × n.
Calculating the Cube of 4
To find the cube of 4, we perform the following calculation:
- Step 1: Multiply 4 by itself:
4 × 4 = 16
- Step 2: Multiply the result by 4 again:
16 × 4 = 64
Thus, the cube of 4 is:
4³ = 64
Answer Options Breakdown
Let's examine the provided answer options:
- a) 16: This is 4 squared (4 × 4) but not the cube.
- b) 32: This does not correspond to any of the calculations for the cube of 4.
- c) 64: This is the correct answer as calculated above.
- d) 256: This is 4 raised to the power of 4 (4 × 4 × 4 × 4), not the cube.
Conclusion
The correct answer is option C: 64, which is the cube of 4. Understanding the concept of cubes helps in various mathematical applications, including geometry and algebra.
Which number is both a factor of 20 and 30?- a)3
- b)5
- c)7
- d)10
Correct answer is option 'B'. Can you explain this answer?
a)
3
b)
5
c)
7
d)
10
|
Focus Academy answered |
5 is a factor of both 20 and 30 because 20 ÷ 5 = 4 and 30 ÷ 5 = 6.
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