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. 75 square units
b. 25 square units
c. 200 square units
d. 100 square units
The formula for the volume of a right rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
Given that the volume is 50 cubic units and the height is 2 units, we can set up the equation as follows:
50 = lw(2)
Since we are looking for the area of the base, which is equal to lw, we need to solve for lw. We can do this by dividing both sides of the equation by 2:
25 = lw
Therefore, the area of the base (lw) is 25 square units.
The answer is b. 25 square units.