Volume Math Example 1

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Example 1

easy
Find the volume of a rectangular prism with length 55 cm, width 33 cm, and height 44 cm.

Solution

  1. 1
    A rectangular prism (cuboid) has three mutually perpendicular dimensions. Its volume is the product of all three: V=l×w×hV = l \times w \times h.
  2. 2
    Substitute the given dimensions — length l=5l = 5 cm, width w=3w = 3 cm, height h=4h = 4 cm.
  3. 3
    Compute: V=5×3×4=60V = 5 \times 3 \times 4 = 60 cm³. Units are cubic (cm³) because length × length × length = length³.

Answer

V=60 cm3V = 60 \text{ cm}^3
Volume measures three-dimensional space. For a rectangular prism, it equals the product of its three dimensions. Volume is always in cubic units.

About Volume

The amount of three-dimensional space that an object occupies, measured in cubic units such as cm³.

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