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?(1 point)
Responses
200 square units
200 square units
25 square units
25 square units
100 square units
100 square units
75 square units
75 square units
The formula for the volume of a right rectangular prism is V = lwh, where 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 units. To find the area of the base, we need to solve for either the length or the width.
Using the formula V = lwh, we can rewrite it as lwh = V.
Plugging in the given values, we have (l)(w)(2) = 50.
Dividing both sides by 2, we get lw = 25.
Since we only want the area of the base, we can choose one of the variables (l or w) and solve for it. Let's solve for w.
w = 25/l.
Now we can substitute this expression for w into the formula for area of a rectangle:
Area = lw = l(25/l) = 25.
Therefore, the area of the base is 25 square units.
The correct response is:
25 square units