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denpristay [2]
1 year ago
10

Sarah has a solid wooden cube with a length of centimeter. From each of its 8 corners, she cuts out a smaller cube with a length

of centimeter. What is the volume of the block after cutting out the smaller cubes?.
Mathematics
1 answer:
victus00 [196]1 year ago
6 0

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

<h3>What is volume ?</h3>

Any three-dimensional solid's volume is just the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.

Volumes vary depending on the shape. We have examined different three-dimensional objects and shapes in geometry, including cubes, cuboids, cylinders, cones, and more. We will learn how to calculate the volume for each of these shapes.

Here,

volume = (8/25 cm2) represents the block's volume after the smaller cubes have been removed.

First, we must determine the volume of a cube with four or five centimeter sides, which is:

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

The volume of each of the eight smaller cubes that was removed must now be subtracted.

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

After the smaller cubes are removed, the block's volume is:

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

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

To know more about Volume , visit

brainly.com/question/23477586

#SPJ4

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