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, the height is given as 2 cubic units and the volume is given as 50 cubic units.
To find the area of the base, we need to find the values of L and W. We can do this by rearranging the volume formula as V = LW(2) and substituting the values V = 50 and H = 2. Simplifying the equation gives us 50 = 2LW.
Since we are only looking for the area of the base, we can consider the length and width to be the same. Let's assume L = W = x. Substituting these values into the equation gives us 50 = 2x^2.
Now, we can solve for x by dividing both sides of the equation by 2: x^2 = 25. Taking the square root of both sides gives us x = 5.
Therefore, the length and width of the base are both 5 units. The area of the base can be found by multiplying the length and width: Area = L × W = 5 × 5 = 25 square units.
The correct answer is 1. 25.
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. 25
2. 5
3. 12.5
4. 45
5. 112.5
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