Answer:
b(side length) = 15 centimeters
Explanation:
Given an assumed regular rectangular prism which has a height of 18, and volume of 4050 cubic centimeters.
We are also given the formula b = (v/18)^1/2 which is said to find the side length of the rectangular prism. Therefore, it is implied that b must be the side length. Since we know everything except the side length we can substitute the volume since we are already given the height in the formula derived from the problem.
b = (4050/18)^1/2
b = (225)^1/2
b = 15
___________
We should also know that the volume of a rectangular prism is defined as V = l × w × h, with l as the length, w as the width, and h as the height, given that b is the side length which is multiplied by the width and height to get 4050, the base must be a square. Since 4050 = 15 × w × 18
4050 = 270 × w
4050/270 = w
15 = w
w = 15.
A square base is when the length and width are equal. Therefore this value has to be true.
As 15 × 15 × 18 = 4050.