I need help with #12 please!

Mathematics

1 answer:

Katen [24]3 years ago

7 0

Answer:

125/512 in³
125 smaller cubes

Step-by-step explanation:

The volume of a cube is the cube of the edge dimension. Here, that dimension is 5/8 in, so the volume is ...

V = s³ = (5/8 in)³ = 125/512 in³ . . . volume of the cube

The volume of a cube 1/8 inch on a side is ...

V = (1/8 in)³ = 1/512 in³

Clearly, a volume that is 125/512 in³ will require 125 of the cubes of size 1/512 in³ to fill it.

125 of the smaller cubes will fit inside.

_____

Alternate solution

You can also determine the number of smaller cubes by considering it takes 5 of them in each direction to make 5/8 inch. Then the volume is 5³ = 125 of the smaller cubes.

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