3. The architect determines that the volume of Building A and Building B will be different if the measurements are the same, like in the image.
The architect considers changing the height of Building B. What would the height of Building B have to become so that Building B has the same volume as Building A id the volume of building A is 120,000 cubic feet and the current measurement of buiollding B are 60 feet height, 40 width, and 50 length Show how to use the formula for the volume of Building B to determine the answer.
(4 points)
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
For Building A:
V_A = 120,000 cubic feet
For Building B:
V_B = lwh = 60 * 40 * 50 = 120,000 cubic feet
Since the volume of Building A and Building B are the same, we have:
120,000 = 60 * 40 * h
Solving for h:
h = 120,000 / (60 * 40)
h = 50 feet
Therefore, the height of Building B would need to be 50 feet in order for Building B to have the same volume as Building A.