A warehouse measures 100 feet by 150 feet with a ceiling height of 20 feet. What is the volume in cubic feet?
Correct Answer
B) 300,000 cubic feet
Volume = length × width × height = 100 × 150 × 20 = 300,000 cubic feet.
Why This Is the Correct Answer
Option B is correct because volume is calculated by multiplying all three dimensions: length × width × height. Using the given measurements: 100 feet × 150 feet × 20 feet = 300,000 cubic feet. This straightforward multiplication gives us the total three-dimensional space within the warehouse. The calculation accounts for the entire usable volume from floor to ceiling across the entire footprint of the building.
Why the Other Options Are Wrong
Option A: 15,000 cubic feet
Option A (15,000) appears to be the result of multiplying only length × width (100 × 150 = 15,000), which gives square footage rather than cubic footage, completely omitting the height dimension.
Option C: 270 cubic feet
Option C (270) is far too small and doesn't follow any logical calculation pattern from the given dimensions, possibly representing a calculation error or confusion with different units.
Option D: 3,000 cubic feet
Option D (3,000) doesn't correspond to any meaningful calculation using the provided dimensions and appears to be an arbitrary number that's significantly smaller than the correct volume.
LWH Volume Box
Remember 'LWH' - Length × Width × Height. Visualize stacking unit cubes to fill the entire space from floor to ceiling, wall to wall.
How to use: When you see a volume question, immediately identify and write down L, W, and H values, then multiply all three numbers together, ensuring you don't forget the height dimension.
Exam Tip
Always double-check that you're multiplying all three dimensions for volume questions - a common error is calculating only area (length × width) and forgetting height.
Common Mistakes to Avoid
- -Calculating only area (length × width) instead of volume
- -Confusing square feet with cubic feet in the final answer
- -Mixing up dimensions or using incorrect units in calculations
Concept Deep Dive
Analysis
This question tests the fundamental geometric calculation of volume for rectangular spaces, which is essential in real estate appraisal for determining storage capacity, rental rates per cubic foot, and property valuations. Volume calculations are particularly important for warehouse, industrial, and storage properties where three-dimensional space utilization directly impacts value. The question requires understanding that volume is a three-dimensional measurement requiring length, width, and height dimensions. This type of calculation is foundational for more complex appraisal concepts like cost per cubic foot analysis and space efficiency ratios.
Background Knowledge
Volume calculations require multiplying three perpendicular dimensions (length × width × height) to determine the total three-dimensional space within a structure. In real estate appraisal, volume measurements are crucial for industrial and warehouse properties where storage capacity directly affects property value and rental rates.
Real-World Application
Appraisers use volume calculations when valuing warehouses for lease rates (often quoted per cubic foot), determining storage capacity for logistics facilities, or comparing the efficiency of different industrial properties based on usable cubic footage.
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