"large density" ===> (relatively large mass) fits into (relatively small volume)
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Well, darling, 2.5 milliliters of water weighs 2.5 grams, since the density of water is 1 gram per milliliter. And since 1 milligram is equal to 0.001 grams, there are 2500 milligrams in 2.5 milliliters. Hope that clears things up for you, sweetie!
Well, darling, 75 ml of water would be approximately 75 grams because the density of water is conveniently close to 1 g/ml. But honey, if you're dealing with a different liquid or substance, you'll need to consult its density to get an accurate conversion. Hope that quenches your thirst for knowledge!
To determine empty space, we will assume that the sphere fits snugly(so that each side of the cube is touching the sphere). First, we take the volume of the cube, which is just one of its side lengths cubed(side length X side length X side length). Record this quantity. Then we find the volume of the sphere. The formula for the volume of a shere is (4/3) Pi r cubed. Since the sphere fits snugly, we know that the radius is half of the side length. We then take the cube volume and subtract the sphere volume, and that is the empty space remaining.
You need one more measurement. Volume requires three dimensions, and you only gave two. Rephrase it and resubmit.
You measure height, width and depth (in feet), then multiply. I believe the "cubic feet" refers to what fits inside, i.e. the usable volume, so you'll have to measure on the inside.