ASVAB · Applied Geometry

A rectangular container is 4 feet long, 3 feet wide, and 2 feet deep. What is its volume in cubic feet?

Correct answer

24

  1. A 9
  2. B 24
  3. C 18
  4. D 36

Why this is the answer

Volume = length × width × height = 4 × 3 × 2 = 24 cubic feet. Volume is a three-dimensional measure, so all three dimensions multiply. The distractor 9 is 4 + 3 + 2 (adding instead of multiplying), 18 and 36 come from multiplying the wrong pair twice (3 × 2 × 3 and 4 × 3 × 3). Units matter too: feet × feet × feet gives cubic feet, which is what the answer choices show.
Source: ASVAB AR, Volume

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About this topic: Applied Geometry

Applied geometry on the ASVAB means perimeter, area and volume of everyday shapes — carpet for a room, fencing for a yard, water in a tank. The formulas are simple; the trap is choosing area when the question needs perimeter, or forgetting units. This is one of 9 Arithmetic Reasoning questions on applied geometry, each with a full explanation on a single study page.

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