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Sarah has a solid wooden cube with a length of 4/5 centimeter. From each of its 8 corners, she cuts out a smaller cube with a length of
1/5 centimeter. What is the volume of the block after cutting out the smaller cubes?

Respuesta :

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The volume of the block after cutting the smaller cubes is:

volume = (8/25 cm^2)

How to get the volume?

First, we need to get the volume of a cube with a sidelength of 4/5 cm, this is:

V = (4/5 cm)^2 = (16/25 cm^2)

Now, we need to remove the volume of the 8 smaller cubes removed, the volume of each one of these is:

v = (1/5 cm)^2 = (1/25 cm^2)

The volume of the block after cutting out the smaller cubes is:

V - 8v = (16/25 cm^2) - 8*(1/25 cm^2) = (8/25 cm^2)

If you want to learn more about volumes:

https://brainly.com/question/1972490

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