A warehouse has interior dimensions of 100 feet by 150 feet with a ceiling height of 20 feet. What is the volume in cubic feet?
Correct Answer
C) 300,000 cubic feet
Volume = length × width × height. 100 × 150 × 20 = 300,000 cubic feet.
Why This Is the Correct Answer
Option C is correct because volume is calculated by multiplying length × width × height. Using the given dimensions: 100 feet × 150 feet × 20 feet = 300,000 cubic feet. This straightforward multiplication gives us the total interior volume of the warehouse space. The calculation accounts for all three dimensions of the rectangular space, providing the complete cubic footage measurement.
Why the Other Options Are Wrong
Option A: 15,000 cubic feet
Option A (15,000 cubic feet) represents only the square footage (100 × 150 = 15,000) without multiplying by the height, resulting in a calculation that's missing the third dimension.
Option B: 270 cubic feet
Option B (270 cubic feet) appears to be the result of adding the three dimensions (100 + 150 + 20 = 270) rather than multiplying them, which is an incorrect approach for volume calculation.
Option D: 3,000 cubic feet
Option D (3,000 cubic feet) seems to result from multiplying only two dimensions incorrectly (possibly 100 × 20 = 2,000 or 150 × 20 = 3,000), omitting one of the required dimensions.
LWH Volume Box
Remember 'LWH' - Length × Width × Height. Visualize stacking square-foot boxes from floor to ceiling: first find the floor area (L×W), then multiply by how many layers you can stack (H).
How to use: When you see a volume question, immediately write 'L × W × H =' and fill in the three given dimensions, ensuring you don't accidentally add them or miss one dimension.
Exam Tip
Always double-check that you're multiplying (not adding) all three dimensions, and verify your answer makes sense - warehouse volumes should be large numbers, typically in the hundreds of thousands of cubic feet.
Common Mistakes to Avoid
- -Adding dimensions instead of multiplying them
- -Forgetting to include the height dimension
- -Confusing volume (cubic feet) with area (square feet)
Concept Deep Dive
Analysis
This question tests the fundamental geometric calculation of volume, which is essential for real estate appraisers when determining storage capacity, rental rates per cubic foot, or comparing warehouse properties. Volume calculations are particularly important in commercial and industrial appraisals where space utilization and cubic footage directly impact property value. The question requires applying the basic volume formula for rectangular spaces, which is one of the most common calculations appraisers perform. Understanding volume is crucial for cost approach valuations and when analyzing income-producing properties where rent may be based on cubic footage rather than square footage.
Background Knowledge
Volume calculation requires multiplying all three dimensions of a rectangular space: length × width × height. This differs from area calculation, which only uses two dimensions (length × width), and is essential for determining storage capacity and certain types of commercial rental calculations.
Real-World Application
Appraisers use volume calculations when valuing cold storage facilities, distribution centers, or manufacturing plants where rental rates are quoted per cubic foot, or when determining the highest and best use based on storage capacity requirements.
More Math & Stats Questions
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An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
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