Question

If you are to pack this prism with unit cubes of the appropriate unit fraction edge lengths what would be the appropriate length of the edge of a unit cube? why? ၇ ? 2 3 2 4 А. 4 yd Byd 1 6 yd С. 4 yd 17 yd

Answer 1

Volume V = LxLxL

then

Volume = 6 yd x 2 3/4 yd x 1 1/2 yd

. = 6x (2 + 3/4) x ( 1 + 1/2 )

. = 12 + 4.5 x ( 1 + 1/2 )

. = 12 + 12•1/2 + 4.5 + 4.5•1/2

. = 18 + 6.75

. = 24.75 cubic yards

Now find length l of cubic unit

6 yd is divided by 1/2

1 1/2 yd. Is divided by 1/2

2 3/4 is divided by 1/2

Then minimum unit cube is 1/2 x 1/2 x 1/2

Then answer is

Option A ) 1/2

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