Answer:
1
Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.
2
1)( x^2+6x+9)/18 / (x+3)^2/36
x^2+6x+9=(x+3)^2
(x+3)^2/18 * 36/(x+3)^2=36/18=2
2) I'll factor the terms for you.
(2x+3)(x-4)/2(3+2x) * 2/(x-4)(x+4)
Do you see the common factors ?
3
start fraction, 1, divided by, 2, end fraction unit. As the volume of n cubes will be equal to volume of rectangular prism. Therefore, a rectangular prism will take 48 cubes with each side 1/2 units to fill the prism.
Hope this is helpful