A room's floor area is 20 m2, with the longer and shorter walls measuring 15 m2 and 12 m2 respectively. Determine the edge of the equivalent cube.
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Answer: C. 60 m3
Explanation
The square of a rectangular room volume equals the product of its three mutually perpendicular wall areas. Multiplying the floor area and two wall areas together gives thirty six hundred square units. Taking the square root of thirty six hundred yields the final equivalent cubic volume of sixty. A rectangular room features three pairs of distinct planar surfaces meeting at right angles. The dimensions of a rectangular box relate directly to the products of its adjacent wall areas. Cubic volume measures three dimensional space using standard units raised to the third power.
HVAC engineers calculate room volumes to determine appropriate heating and cooling capacity requirements. Interior designers estimate spatial dimensions to plan furniture placement and lighting layouts effectively. Building contractors analyze wall and floor measurements to estimate necessary construction materials accurately. Option A incorrectly uses cubic units for an area calculation instead of applying proper volume rules. Option B mistakenly reports an area measurement rather than the required three dimensional volume. Option D provides an erroneous volume estimate derived from incorrect multiplication of the given values.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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