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Which formula gives the volume of a rectangular solid?

  1. LWH

  2. 2LW + 2WH + 2LH

  3. 4(3.14)(r^2)

  4. (3.14)(r^2)(h)

The correct answer is: LWH

The formula for calculating the volume of a rectangular solid is derived from the three dimensions that define its size: length, width, and height. The formula essentially multiplies these three measurements together: length (L), width (W), and height (H). Thus, the correct formula for the volume of a rectangular solid is \( L \times W \times H \), which is represented by the formula given. This direct multiplication gives you the total amount of three-dimensional space that the solid occupies. To provide context regarding the other options: the formula that involves \( 2LW + 2WH + 2LH \) is actually the formula for the surface area of the rectangular solid, not the volume. The formulas involving \( 3.14 \) and \( r \) are associated with calculations for circles or cylinders, specifically for their area and volume, respectively, which do not apply to rectangular solids.