Question

Part A: How many small cubes can be packed in a rectangular prism

Answer 1

A:

We first find the volume of this rectangular prism, which is the formula lwh. lwh = (1.5)(1)(2.5) = 3.75. We now find the volume of the small cube, which is the formula l^3, where l = length of the side of the cube. Now we have (0.5)^3 = 0.125. Now we divide 3.75 by 0.125, or ( 3.75) / (0.125) which equals 30, the answer for part A.

B: my guess is since a unit cube has all sides the same length which is one unit we can take in this case one unit to be 1 inch. So volume is again 1x1x1=1 inch squared. So same method as above for finding out how many unit cubes can fit into the prism. Volume of the prism divided by volume of one cube. Not completely sure about part B I tried but part A is accurate