Final answer:
The width of the prism is 9 units, and the height is 540 units.
Step-by-step explanation:
To find the width and height of the prism, we can solve the equation 4,860 = (20 * w) * (3 * w). First, simplify the equation by performing the multiplication:
4,860 = 60 * w2
Next, divide both sides of the equation by 60 to isolate w2:
w2 = 81
Finally, take the square root of both sides to find the value of w:
w = ±9
Since width cannot be negative, we take w = 9. Therefore, the width of the prism is 9 units.
To find the height, substitute the value of w back into the equation:
Height = 20 * w * 3 = 20 * 9 * 3 = 540
Therefore, the height of the prism is 540 units.