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Find the height of a cuboid whose volume is 275 cm3 and base area is 25 cm2
  • a)
    22 cm
  • b)
    6 cm
  • c)
    9 cm
  • d)
    11 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the height of a cuboid whose volume is 275 cm3and base area is 25...
Area of the base = Product of length and breadth
Volume of cuboid = Length x breadth x Height
= Area of its base x Height
275 = 25 x Height
Height = 275 / 25 cm
=11 cm
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Most Upvoted Answer
Find the height of a cuboid whose volume is 275 cm3and base area is 25...
Understanding the Problem
To find the height of a cuboid, we need to use the relationship between volume, base area, and height. The formula for the volume (V) of a cuboid is:
V = Base Area (A) × Height (h)
Given data:
- Volume (V) = 275 cm³
- Base Area (A) = 25 cm²
Step-by-Step Calculation
1. Rearranging the Volume Formula:
To find the height (h), we can rearrange the formula:
h = V / A
2. Substituting the Known Values:
Now plug in the values we have:
h = 275 cm³ / 25 cm²
3. Performing the Calculation:
- Divide 275 by 25:
h = 11 cm
Conclusion
The height of the cuboid is 11 cm. Therefore, the correct option is:
- Option 'D' - 11 cm
Key Takeaways
- The formula to remember: Volume = Base Area × Height
- To find height, rearrange the formula: Height = Volume / Base Area
- Always ensure units are consistent when performing calculations.
This breakdown helps in understanding how to approach similar volume-related problems in the future.
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Find the height of a cuboid whose volume is 275 cm3and base area is 25 cm2a)22 cmb)6 cmc)9 cmd)11 cmCorrect answer is option 'D'. Can you explain this answer?
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