Volume of right rectangular prisms quick check 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 two 200 square units 25 square units 100 square unit 75 square units
The volume of a right rectangular prism is given by the formula 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 (V) is 50 cubic units and the height (h) is 2. Let's assume the length (l) and width (w) are represented by x:
V = lwh
50 = x * x * 2
50 = 2x^2
Divide both sides of the equation by 2:
25 = x^2
Take the square root of both sides to solve for x:
x = 5
So, the length and width are both 5 units.
Now, we can calculate the area of the base by multiplying the length and width:
Area of base = Length * Width
Area of base = 5 * 5
Area of base = 25 square units
Therefore, the area of the base is 25 square units.