A building measures 40 feet × 60 feet × 12 feet high. What is the volume in cubic feet?
Correct Answer
B) 28,800 cubic feet
Volume is length × width × height. 40 feet × 60 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. Using the given measurements: 40 feet × 60 feet × 12 feet = 28,800 cubic feet. This follows the standard formula for calculating the volume of a rectangular prism or building. The calculation is straightforward multiplication of the three perpendicular dimensions.
Why the Other Options Are Wrong
Option A: 2,400 cubic feet
Option A (2,400 cubic feet) represents only the floor area calculation (40 × 60 = 2,400 square feet) without including the height dimension, making it a two-dimensional rather than three-dimensional measurement.
Option C: 7,200 cubic feet
Option C (7,200 cubic feet) appears to be the result of multiplying only two dimensions by the height (60 × 12 = 720, then incorrectly multiplied by 10), representing a calculation error or misunderstanding of the proper formula.
Option D: 112 cubic feet
Option D (112 cubic feet) is far too small and represents the sum of the three dimensions (40 + 60 + 12 = 112) rather than their product, showing a fundamental misunderstanding of volume calculation.
LWH Volume Multiplication
Remember 'Love Will Help' for Length × Width × Height - all three dimensions must be multiplied together, never added or partially calculated
How to use: When you see a volume question, immediately identify all three dimensions and think 'Love Will Help' to remember you must multiply Length × Width × Height
Exam Tip
Always double-check that your answer is in cubic units (not square units) and verify you've used all three given dimensions in your calculation
Common Mistakes to Avoid
- -Calculating area instead of volume by omitting the height dimension
- -Adding dimensions instead of multiplying them
- -Mixing up which dimension represents length, width, or height
Concept Deep Dive
Analysis
This question tests fundamental geometric calculation skills essential for real estate appraisers who must accurately measure and calculate building volumes for various purposes. Volume calculations are critical in determining cubic footage for construction costs, HVAC requirements, and certain valuation methods. The question requires understanding that volume is a three-dimensional measurement requiring length, width, and height dimensions. Appraisers must be proficient in basic mathematical operations as these calculations form the foundation for more complex appraisal computations.
Background Knowledge
Volume calculation requires multiplying length × width × height for rectangular structures, resulting in cubic units of measurement. This is distinct from area calculations which only use two dimensions and result in square units.
Real-World Application
Appraisers use volume calculations when estimating construction costs using cost per cubic foot methods, determining storage capacity for warehouse valuations, or calculating HVAC requirements for building systems analysis
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
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?
A property generates $120,000 in net operating income and is valued at $1,500,000. What is the capitalization rate?
A building has potential gross income of $180,000, vacancy and collection loss of 8%, and operating expenses of $54,000. What is the net operating income?
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