a rectangular prism has a height of 4/5 m and a square base with an area of 4 5/8 m^2.
what is the volume of the rectangular prism?
The volume of a rectangular prism is found by multiplying the base area by the height.
Given that the base area is 4 5/8 m^2, we need to convert this mixed number to an improper fraction.
To convert 4 5/8 to an improper fraction, multiply the whole number by the denominator and add the numerator: 4 * 8 + 5 = 32 + 5 = 37.
So, 4 5/8 as an improper fraction is 37/8.
Now, we can calculate the volume of the rectangular prism by multiplying the base area (37/8 m^2) by the height (4/5 m):
Volume = (37/8 m^2) * (4/5 m)
= (37 * 4) / (8 * 5) m^3
= 148 / 40 m^3
= 37/10 m^3
Therefore, the volume of the rectangular prism is 37/10 cubic meters, or 3.7 cubic meters.