The height of the pyramid is 14.4 cm.
<h3>How to find the height of the pyramid?</h3>
volume of a pyramid = 1 / 3 Bh
where
- B = base area
- h = height of the pyramid
Therefore,
volume of the cube = L³
where
- L = side length of the cube
Hence,
volume of the cube = 10³
volume of the cube = 1000 cm³
The volume of the pyramid is the same with the volume of the cube.
Hence,
1000 = 1 / 3 Bh
The height of the pyramid is the same as the square base.
Therefore,
1000 = 1 / 3 (h²)h
1000 = 1 / 3 h³
cross multiply
3000 = h³
h = ∛3000
h = 14.4224957031
Hence, the height of the pyramid is 14.4 cm.
learn more on pyramid here:brainly.com/question/19813447
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