Final answer:
The volume of a square prism is given by V = s²h. To find the height h for a given volume V and side length s, the formula is rearranged to h = V/s². For V = 60 cm³ and s = 6 cm, h is calculated to be 1.67 cm.
Step-by-step explanation:
The question is about finding the formula for the volume (V) of a square prism in terms of its height (h) and then using the formula to determine h when given V and the side length (s).
Formula Derivation
For a square prism with side length s, the base area (A) is s². The volume (V) is then the product of the base area and height: V = A × h = s² × h. Hence, the formula in terms of h is V = s²h.
Height Calculation
The height h can be found by rearranging the formula to h = V/s². Plugging in V = 60 cm³ and s = 6 cm gives us h = 60 cm³ / (6 cm)² = 60 cm³ / 36 cm² = 1.67 cm.