Asked by Deisy
Small cubes with edge lengths of 1/2 will be packed into a rectangular prism. The lenght is 4 1/2 in. With:5 in..Height:3 3/4 in...
HOW MANY SMALL CUBES ARE NEEDED TO FILL COMPLETLY THE PRISM
HOW MANY SMALL CUBES ARE NEEDED TO FILL COMPLETLY THE PRISM
Answers
Answered by
Steve
4 1/2 = 9 * 1/2
5 = 10 * 1/2
3 3/4 = 7 1/2 * 1/2
That means that there is some leftover space at the top. The space used is thus
9x10x7 cubes = 630 cubes
The prism cannot be completely filled unless either
(a) small cubes can be cut in half
(b) an extra layer of 9x10=90 cubes is added, completely filling the prism (and sticking out over the top)
5 = 10 * 1/2
3 3/4 = 7 1/2 * 1/2
That means that there is some leftover space at the top. The space used is thus
9x10x7 cubes = 630 cubes
The prism cannot be completely filled unless either
(a) small cubes can be cut in half
(b) an extra layer of 9x10=90 cubes is added, completely filling the prism (and sticking out over the top)
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