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o-na [289]
2 years ago
13

A pyramid has the same volume as a cube of side 10.0 cm

Mathematics
1 answer:
Svetlanka [38]2 years ago
8 0

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

#SPJ1

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