ASVAB · Geometry

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

Correct answer

60

  1. A 60
  2. B 47
  3. C 12
  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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About this topic: Geometry

Geometry on the Mathematics Knowledge section covers angles, triangles (including the Pythagorean theorem), circles, polygons, perimeter, area and volume, and basic coordinate geometry such as slope. Formulas are not provided, so they must be memorised. This is one of 19 Mathematics Knowledge questions on geometry, each with a full explanation on a single study page.

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