A warehouse has interior dimensions of 120 feet × 80 feet × 20 feet high. What is the volume in cubic feet?
Correct Answer
D) 192,000 cubic feet
Why this is correct: Volume is calculated by multiplying the three interior dimensions: length, width, and height. The formula is Volume = length * width * height. For this warehouse: 120 feet * 80 feet * 20 feet = 192,000 cubic feet. Why the other choices are wrong: 220 cubic feet is a sum of the dimensions (120+80+20). 19,200 cubic feet is the area of the floor (120 * 80), ignoring height. 9,600 cubic feet is incorrect, possibly from using half the height or another miscalculation. Exam tip: For volume, ensure you multiply all three dimensions. Don't confuse area (length * width) with volume.
Why This Is the Correct Answer
Option B is correct because volume is calculated by multiplying length × width × height. Using the given dimensions: 120 feet × 80 feet × 20 feet = 192,000 cubic feet. This straightforward multiplication gives us the total interior volume of the warehouse space. The calculation follows the standard geometric formula for finding the volume of a rectangular prism, which is the shape of most warehouse interiors.
Why the Other Options Are Wrong
LWH Box Method
Remember 'LWH' - Length × Width × Height. Visualize stacking unit cubes to fill a box: you need cubes going across (length), back (width), and up (height). Think 'Love Will Help' to remember the order doesn't matter in multiplication.
How to use: When you see interior dimensions with three measurements, immediately think 'LWH' and multiply all three numbers together. Always check that your answer is in cubic units (cubic feet, cubic yards, etc.) for volume questions.
Exam Tip
Double-check your multiplication by breaking it into steps: first multiply two dimensions, then multiply that result by the third dimension. This reduces calculation errors and makes verification easier.
Common Mistakes to Avoid
- -Forgetting to include the height dimension and calculating area instead of volume
- -Adding dimensions instead of multiplying them
- -Making arithmetic errors during multiplication of large numbers
Concept Deep Dive
Analysis
This question tests fundamental geometric calculation skills essential for real estate appraisal, specifically the ability to calculate volume using the basic formula for rectangular prisms. Volume calculations are critical in commercial real estate appraisal for determining storage capacity, rental rates per cubic foot, and comparing properties based on usable space. The question requires multiplying three dimensions (length, width, and height) to determine total cubic footage. Understanding volume calculations is foundational for more complex appraisal concepts like cost approach calculations and highest and best use analysis.
Background Knowledge
Volume calculations require understanding that volume equals length × width × height for rectangular spaces, measured in cubic units. In real estate, volume is particularly important for warehouses, storage facilities, and industrial properties where three-dimensional space utilization affects value and rental rates.
Real-World Application
Appraisers use volume calculations when valuing warehouses for lease rates per cubic foot, determining storage capacity for logistics facilities, or calculating construction costs for industrial buildings where interior volume affects heating, cooling, and operational expenses.
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