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Length x width x height

75/256 in³    <    64/125 in³

Step-by-step explanation:

First, find the volumes of the two 3-D figures:

For Figure 1:

Using the volume formula:

V = l × w × h

   = 6/8 × 5/8 × 5/8

   = (6/8 × 5/8) × 5/8

   = 30/64 × 5/8

V = 150/512

Simplify:

V = 75/256

So Figure 1's volume is 75/256 in³.

For Figure 2:

V = l × w × h

   = 4/5 × 4/5 × 4/5

   = (4/5 × 4/5) × 4/5

   = 16/25 × 4/5

   = 64/125

So Figure 2's volume is 64/125 in³.

Now, comparing the two volumes:

You can cross multiply the fractions to figure out which fraction is greater:

Figure 1                       Figure 2

75                =                 64

256                                  125

75 (125)          =             256 (64)

9375               =             16384

So Figure 2 has the greater volume.

Your final result should be:

75/256 in³    <    64/125 in³

1. perpendicular

2. parallel

3. perpendicular