Final answer:
To solve for length l in the volume formula V = lwh for a rectangular prism, divide the volume V by the product of width w and height h, resulting in the formula l = V / wh. Hence, the correct answer is option b.
Step-by-step explanation:
The question asks to solve for l in the formula for the volume of a rectangular prism, which is V = lwh. To isolate l, you need to divide both sides of the equation by wh. Therefore, the correct transformation of the formula would be l = V / wh.
This shows that the length (l) of the rectangular prism can be found by dividing the volume (V) by the product of its width (w) and height (h). Dimensional analysis is a method of checking whether formulas are dimensionally consistent.
Examining the volume formulas given for various shapes confirms their validity. For instance, the volume of a cylinder V = πr²h is consistaent because it multiplies an area (πr²) by a length (h). Similarly, V = Ah is consistent for any three-dimensional object with parallel sides, like a cylinder or rectangular prism.