To find the area of the base of a right rectangular prism, we first need to find the length and width of the base by dividing the volume by the height.
Volume = length x width x height
50 = length x width x 2
length x width = 25
Now, we need to find the factors of 25 that can be used as the length and width of the base. The factors of 25 are 1, 5, and 25. Since the base is a rectangle, we can assume that the length and width are not equal.
Therefore, the possible combinations for the base area are:
- Length = 1, Width = 25 (Area = 1 x 25 = 25 square units)
- Length = 5, Width = 5 (Area = 5 x 5 = 25 square units)
So, the area of the base of the right rectangular prism can be either 25 square units or 25 square units.
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?
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