All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If the length of a side of a cube is doubled, how does the volume change?
If the length of a side of a cube is doubled, how does the volume change?
Expand All
Collapse All
Practice Questions
1 question
Q1
If the length of a side of a cube is doubled, how does the volume change?
Increases by 2 times
Increases by 4 times
Increases by 8 times
Remains the same
Show Solution
Copy
Volume of a cube is given by V = a³. If a is doubled, V becomes (2a)³ = 8a³, hence volume increases by 8 times.
Questions & Step-by-step Solutions
1 item
Q
Q: If the length of a side of a cube is doubled, how does the volume change?
Solution:
Volume of a cube is given by V = a³. If a is doubled, V becomes (2a)³ = 8a³, hence volume increases by 8 times.
Steps: 8
Show Steps
Step 1: Understand that a cube has sides of equal length. Let's call the length of one side 'a'.
Step 2: The formula for the volume of a cube is V = a³, which means you multiply the length of the side by itself three times.
Step 3: If we double the length of the side, the new length becomes 2a.
Step 4: Now, we need to find the new volume using the new side length. The new volume is V = (2a)³.
Step 5: Calculate (2a)³. This means (2a) * (2a) * (2a).
Step 6: When you multiply it out, you get 2 * 2 * 2 * a * a * a = 8a³.
Step 7: Compare the new volume (8a³) to the original volume (a³).
Step 8: Since 8a³ is 8 times a³, we conclude that the volume increases by 8 times.
Related Questions
W
What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?
Question: What is the wavelength of a photon with a frequency of 6 x 10^14 Hz?Options: 5 x 10^-7 m3 ..
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
W
What is the value of 1 Joule in terms of base SI units?
Question: What is the value of 1 Joule in terms of base SI units?Options: 1 kg·m²/s²1 kg·m/s²1 m²/s²..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
