using the formula for the volume of a right rectangular prism, what is the area of the base when the volume is 50 cubic units and the height is 2?
a 100 square units
b 75 square units
c 200 square units
d 25 square units
The formula for the volume of a right rectangular prism is given by V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we are given that the volume is 50 cubic units and the height is 2. Let l and w be the length and width of the rectangular prism, respectively.
So, we have the equation 50 = lwh.
Since the height is 2, we can rewrite the equation as 50 = 2lw.
Now, we need to find the area of the base (lw).
We can solve for lw by dividing both sides of the equation by 2: 50/2 = lw.
Thus, lw = 25 square units.
Therefore, the area of the base is 25 square units. Answer: d) 25 square units.