This keeps disappearing, so I've copied and pasted from the last time.
The question I am trying to answer, and keep getting wrong is, how many 1/4 cm cubes would fill a rectengular prism 1cm x 7/4cm x 2cm?
My reasoning is volume = L * W * H.
So I get 7/4 * 1/1 * 2/1, which gives me 14/4, so it takes fourteen 1/4cm cubes to fill that space.
But 14 appears to be the wrong answer.
It seems the correct answer is found by converting all of the fractions to quarters, so you get 7/4 * 8/4 * 4/4, and multiply the numerators only giving 224.
Can someone help me understand my mistake? I understand how 224 was determined, but that seems to break the rules for multiplying fractions, and if determining the volume for the shape and then breaking that volume into pieces doesn't work, then I have really misunderstood something basic.
Any help and insight into my error is greatly appreciated.
The question I am trying to answer, and keep getting wrong is, how many 1/4 cm cubes would fill a rectengular prism 1cm x 7/4cm x 2cm?
My reasoning is volume = L * W * H.
So I get 7/4 * 1/1 * 2/1, which gives me 14/4, so it takes fourteen 1/4cm cubes to fill that space.
But 14 appears to be the wrong answer.
It seems the correct answer is found by converting all of the fractions to quarters, so you get 7/4 * 8/4 * 4/4, and multiply the numerators only giving 224.
Can someone help me understand my mistake? I understand how 224 was determined, but that seems to break the rules for multiplying fractions, and if determining the volume for the shape and then breaking that volume into pieces doesn't work, then I have really misunderstood something basic.
Any help and insight into my error is greatly appreciated.