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Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.

2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.

He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Respuesta :

Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.

The volume of the complete sculpture = 4(Volume of a single pyramid)

                                                                 = 4[(1/3) × (2 ft)² × 1.5 ft]

                                                                 = 4(2 ft³)

                                                                 = 8 ft³

Hence, the amount of sculpting material needed is 8 ft³.

Learn more about Volume:

https://brainly.com/question/13338592

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Answer:

8ft.^3

Step-by-step explanation:

I just took the test on edge :)

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