A right rectangular prism has dimensions 2/3m, 3/4m, and 1/5m. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms
To find the volume of a rectangular prism, multiply the three dimensions together:
Volume = length x width x height
Volume = (2/3m) x (3/4m) x (1/5m)
Volume = 2/9 m^3
Therefore, the volume of the prism is 2/9 m^3.
make 2/3, 3/4, and one fifth all have the same denominator (NOT LIKE any number.)
To make 2/3, 3/4, and 1/5 have the same denominator, we need to find the least common multiple of 3, 4, and 5, which is 60.
Thus, we rewrite the fractions with a denominator of 60:
2/3 = 40/60
3/4 = 45/60
1/5 = 12/60
Now, the dimensions of the prism are 40/60, 45/60, and 12/60.
To find the volume of the prism, we multiply these dimensions together:
Volume = (40/60) x (45/60) x (12/60)
Volume = 0.4
Therefore, the volume of the prism is 0.4 cubic units.