The height of the rectangular prism can be calculated using the following formula:
Volume (V) = Length (L) * Width (W) * Height (H)
Therefore, rearranging the formula, we can calculate the height of the prism:
Height (H) = Volume (V) / (Length (L) * Width (W))
For this problem, plugging in the known values, we get:
Height (H) = 490 cm³ / (10 cm * 7 cm)
Therefore,
Height (H) = 8.14 cm