if the volume of a rectangular prism is 420 cubic units what is its vilume if one dimension is halved a second dimension is reduced to one third its original length and a third dimension remains unchanged?

How would I do this?

1 answer

original:
length --- x
width ---- y
height ---z
xyz = 420

new prism
length --- x/2
width ---- y/3
height --- z

(x/2)(y/3)z =
= xyz/6
= 420/6
= 70 units3

notice it wouldn't matter which dimensions are halved and cut into thirds, I could have used other combinations. The final result is that it would be 1/6 of the original