For exercises 38 and 39, how many cubes measuring 1 cm on each edge will fit into the container?
38. A box measuring 2 cm on each inside edge.
39. A box measuring 3 cm by 4 cm by 5 cm on the inside edge.
40. What is the maximuim number of boxes measuring 1 cm by 1 cm by 2 cm that can fit within a box whose inside dimensions are 3 cm by 4 cm by 5 cm?
2007-01-10 06:39:36 · 1 answers · asked by Anonymous in Education & Reference ➔ Homework Help
the number of box A, whose dimensions are A1, A2, A3 that can fit inside box B, whose dimensions B1, B2, B3 is the maximum you can get from the equation (Bx/A1) * (By/A2) * (Bz/A3) where x, y, z are some combination of 1, 2 and 3.
When a side on A won't go in evenly with all sides of B, choose the best fit.
in 40: the 2cm side of A should correspond with the 4cm side of B because it divides evenly and fills the most space without going over. The equation becomes (3/1) * (4/2) * (5/1) = 30
38 and 39 are trivial since 1x1x1 goes in any which way and comes out to 38) 2x2x2 = 8 and 39) 3x4x5 = 60
Is that right? I think so....
2007-01-10 06:50:12 · answer #1 · answered by scruffy 5 · 0⤊ 0⤋