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The four diagonals of a cube are drawn to create 6 square pyramids with the same base and height. The volume of the cube is (b)(b)(b). The height of each pyramid is h.

Four diagonals of a cube are drawn to create 6 square pyramids inside of the cube with the same base and height. The sides of the cube have lengths b. The height of each pyramid is h.

Therefore, the volume of one pyramid must equal one-sixth the volume of the cube, or

One-sixth (b)(b)(2h) or One-thirdBh.
One-sixth (b)(b)(6h) or Bh.
One-third (b)(b)(6h) or One-thirdBh.
One-third (b)(b)(2h) or Two-thirdsBh.

Respuesta :

rileyhammett

Answer: A

Step-by-step explanation:

The volume of the shape will be A. One-sixth (b)(b)(2h) or One-thirdBh.

How to calculate the volume?

The volume of a cube is given as sÂł.

In this case, b = 2h

Therefore, the volume is given as (b)(b)(2h).

The volume of the pyramid will be:

= 1/6 Ă— Volume of cone

= 1/6 Ă— (b)(b)(2h)

= 1/6(b)(b)(2h)

Learn more about volume on:

https://brainly.com/question/12410983

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