A building has dimensions of 60 feet × 40 feet × 12 feet high. What is the volume in cubic feet?
Correct Answer
B) 28,800 cubic feet
Volume is calculated by multiplying length × width × height. 60 feet × 40 feet × 12 feet = 28,800 cubic feet.
Why This Is the Correct Answer
Option B is correct because volume is calculated by multiplying all three dimensions: length × width × height. Following the formula: 60 feet × 40 feet × 12 feet = 28,800 cubic feet. This straightforward multiplication gives us the total three-dimensional space contained within the building. The calculation accounts for all interior space from floor to ceiling across the entire footprint of the building.
Why the Other Options Are Wrong
Option A: 2,400 cubic feet
Option A (2,400 cubic feet) represents only the floor area calculation of 60 × 40 = 2,400 square feet, completely omitting the height dimension and providing area instead of volume.
Option C: 112 cubic feet
Option C (112 cubic feet) appears to be the result of adding the dimensions (60 + 40 + 12 = 112) rather than multiplying them, which is a fundamental mathematical error for volume calculation.
Option D: 7,200 cubic feet
Option D (7,200 cubic feet) could result from multiplying only two dimensions correctly and then making an error with the third, such as 60 × 40 × 3 = 7,200, suggesting a misreading of the height as 3 feet instead of 12 feet.
LWH Box Method
Remember 'LWH' - Length × Width × Height = Volume. Visualize stacking unit cubes to fill a box: you need cubes going across (length), back (width), and up (height).
How to use: When you see three building dimensions, immediately think 'LWH box' and multiply all three numbers together, ensuring your answer is in cubic units.
Exam Tip
Always check that your volume answer is in cubic units (cubic feet, cubic yards, etc.) and is significantly larger than what the area would be - volume should always be much bigger than area for the same structure.
Common Mistakes to Avoid
- -Calculating area instead of volume by omitting the height dimension
- -Adding dimensions instead of multiplying them
- -Misreading one of the dimensions and using the wrong number in calculations
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 of length × width × height. Volume calculations are critical in appraisal work for determining building capacity, storage space, and certain valuation methods. The question requires careful attention to units and proper multiplication of three dimensions. Understanding volume calculations is foundational for more complex appraisal concepts like cost approach calculations and building analysis.
Background Knowledge
Volume calculation requires multiplying three perpendicular dimensions: length, width, and height, always resulting in cubic units. In real estate appraisal, volume calculations are used for determining building capacity, comparing structures, and certain cost approach methodologies.
Real-World Application
Appraisers use volume calculations when valuing warehouses, storage facilities, or industrial buildings where rental rates may be based on cubic footage rather than square footage, and when applying certain cost approach methods that consider total building volume.
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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?
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