Grade 12 Exam > Grade 12 Questions > The length of a cube is 2.3 cm. What is its v...
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The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?
- a)12.67
- b)12.167
- c)12.17
- d)13
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The length of a cube is 2.3 cm. What is its volume rounded off to 4 si...
Volume of a cube is equaled to its length cubed, therefore, required volume = 12.167 cm3. The 67 in the end will be rounded off to 7, hence the final number becomes 12.17.
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The length of a cube is 2.3 cm. What is its volume rounded off to 4 si...
Understanding the Volume of a Cube
To find the volume of a cube, we use the formula:
Volume = side length × side length × side length (or side length³).
Given that the length of the cube's side is 2.3 cm, we can calculate the volume as follows:
Step-by-Step Calculation
- Calculate the Volume:
- Volume = (2.3 cm) × (2.3 cm) × (2.3 cm)
- Volume = 2.3 * 2.3 * 2.3 = 12.167 cm³
Rounding the Volume
- The calculated volume (12.167 cm³) needs to be rounded to 4 significant digits.
- Here, the digits are: 1, 2, 1, and 6 (in 12.167).
- Since we need 4 significant figures, we look at the fifth digit (7) to determine if we round up or not.
- Since 7 is greater than 5, we round the fourth digit (6) up to 7.
Final Result
- After rounding, the volume becomes 12.17 cm³.
Thus, the correct answer is option 'C', which is 12.17 cm³.
Conclusion
- Always ensure to apply the correct rounding rules to achieve the desired number of significant figures.
- In this case, rounding from 12.167 to 12.17 reflects proper adherence to significant digit conventions.
To find the volume of a cube, we use the formula:
Volume = side length × side length × side length (or side length³).
Given that the length of the cube's side is 2.3 cm, we can calculate the volume as follows:
Step-by-Step Calculation
- Calculate the Volume:
- Volume = (2.3 cm) × (2.3 cm) × (2.3 cm)
- Volume = 2.3 * 2.3 * 2.3 = 12.167 cm³
Rounding the Volume
- The calculated volume (12.167 cm³) needs to be rounded to 4 significant digits.
- Here, the digits are: 1, 2, 1, and 6 (in 12.167).
- Since we need 4 significant figures, we look at the fifth digit (7) to determine if we round up or not.
- Since 7 is greater than 5, we round the fourth digit (6) up to 7.
Final Result
- After rounding, the volume becomes 12.17 cm³.
Thus, the correct answer is option 'C', which is 12.17 cm³.
Conclusion
- Always ensure to apply the correct rounding rules to achieve the desired number of significant figures.
- In this case, rounding from 12.167 to 12.17 reflects proper adherence to significant digit conventions.
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The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?a)12.67b)12.167c)12.17d)13Correct answer is option 'C'. Can you explain this answer? for Grade 12 2025 is part of Grade 12 preparation. The Question and answers have been prepared according to the Grade 12 exam syllabus. Information about The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?a)12.67b)12.167c)12.17d)13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Grade 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?a)12.67b)12.167c)12.17d)13Correct answer is option 'C'. Can you explain this answer?.
The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?a)12.67b)12.167c)12.17d)13Correct answer is option 'C'. Can you explain this answer? for Grade 12 2025 is part of Grade 12 preparation. The Question and answers have been prepared according to the Grade 12 exam syllabus. Information about The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?a)12.67b)12.167c)12.17d)13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Grade 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a cube is 2.3 cm. What is its volume rounded off to 4 significant digits in cm3?a)12.67b)12.167c)12.17d)13Correct answer is option 'C'. Can you explain this answer?.
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