A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively. The volume of the rectangular prism is __cubic inch.

24/105

answered this on plato and got it right uwu

Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)

Work Shown:

The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.

Multiply the numbers up top (numerators) : 2*3*4 = 6*4 = 24

Multiply the numbers in the bottom (denominators) : 3*5*7 = 15*7 = 105

We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)

24/3 = 8

105/3 = 35

So that's how I got 8/35

If you want to convert to decimal form, then 8/35 = 0.22857 approximately.