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Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b.

The area of the base of the cube, B, is

square units.

The volume of the cube is

cubic units.

The height of each pyramid, h, is

. Therefore,

b = 2h.

There are

square pyramids with the same base and height that exactly fill the given cube.

Therefore, the volume of one pyramid is
or One-thirdBh.

Sagot :

ogorwyne

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Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b. The area of the base of the cube,

B, is (b)*(b) square units.

The volume of the cube is (b)*(b)*(b) cubic units.

The height of each pyramid, h, is  b/2

b = 2h.

There are 6 square pyramids with the same base and height that exactly fill the given cube.

Therefore, the volume of one pyramid is (1/6)(b)(b)(2h)

or One-third Bh.

What is a pyramid?

This is the term that is used to refer to the shape that is known to have a square base and the base could also be triangular. The parts of the base are known to have a connection at the top of the pyramid.

Read more on pyramids here: https://brainly.com/question/1869460

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