ASVAB · Geometry

What is the volume of a rectangular box with length 5, width 4, and height 3?

Correct answer

60

  1. A 12
  2. B 47
  3. C 60
  4. D 94

Why this is the answer

Volume of a rectangular prism (box) = length × width × height = 5 × 4 × 3 = 60 cubic units. Multiply in any order: 5 × 4 = 20, then 20 × 3 = 60. Volume formulas to know: (1) Rectangular prism: V = lwh; (2) Cube: V = s³ (side cubed); (3) Cylinder: V = πr²h (area of circular base times height); (4) Cone: V = (1/3)πr²h (one-third the cylinder); (5) Sphere: V = (4/3)πr³; (6) Pyramid: V = (1/3) × base area × height. Surface area is different — sum of all face areas. For a rectangular box, surface area = 2(lw + lh + wh). Units: volume is always cubic. Common error: confusing volume and surface area — read the question. Real-world applications: container capacity, concrete volume, water flow, gas volumes.
Source: ASVAB Math Knowledge — Volume

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