Calculate Room Volume in Cubic Metres

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SUMMARY

The volume of a room measuring 25 ft long, 20 ft wide, and 15 ft tall can be accurately calculated in cubic meters by converting each dimension from feet to meters using the conversion factor of 1 m = 3.281 ft. The correct conversion for each dimension is: 25 ft = 7.62 m, 20 ft = 6.10 m, and 15 ft = 4.57 m. The final volume in cubic meters is obtained by multiplying these converted dimensions: 7.62 m * 6.10 m * 4.57 m, resulting in approximately 215.3 cubic meters.

PREREQUISITES
  • Understanding of unit conversion, specifically feet to meters.
  • Basic knowledge of volume calculation (length x width x height).
  • Familiarity with metric and imperial measurement systems.
  • Ability to perform arithmetic operations involving multiplication and division.
NEXT STEPS
  • Learn about dimensional analysis for unit conversions.
  • Explore volume calculations in different measurement systems.
  • Study the implications of measurement errors in volume calculations.
  • Investigate tools for automated unit conversions, such as online calculators or software.
USEFUL FOR

Students, educators, architects, and anyone involved in construction or design who needs to convert measurements and calculate volumes accurately.

r-soy
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A room is 25 ft long , 20 ft wide and 15 ft tall . Express the volume of the room in cubic metres . [ 1m = 3.281ft]



I sure my answer is wrong but I try



Now we have 25 ft long , 20 ft wide and 15 we must change all this to cubic metres



3.281ft = 1m



25 X 3.281ft

20 X 3.281ft

15 X 3.281ft
 
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1 m = 3.281 ft
x m = 25 ft

Multiply it cross-like ;) and you get:
25 ft * 1m = x m * 3.281 ft
divide it by 3.281 ft and you get
x m=(25 ft * 1m)/(3.281 ft)
 
r-soy said:
A room is 25 ft long , 20 ft wide and 15 ft tall . Express the volume of the room in cubic metres . [ 1m = 3.281ft]



I sure my answer is wrong but I try



Now we have 25 ft long , 20 ft wide and 15 we must change all this to cubic metres



3.281ft = 1m
So 1 ft = (1/3.281)m.
r-soy said:
25 X 3.281ft

20 X 3.281ft

15 X 3.281ft
Yes, these are all wrong. Also, you are not paying attention to the units being used. Your first expression is 25 X 3.281 ft = 82.025 ft. This makes no sense. 25 feet is not equal to 82.025 feet.

You need to convert each measurement in feet to the equivalent length in meters, then multiply all three together to get cubic meters.

For the room length, 25 ft = 25 ft * (1/3.281) m/ft = ?? m. It should be about 8 m.

Do the same for the other two room dimensions, then multiply all three together to get the volume.
 

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