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. What is the volume of material he must purchase? 2 ft3 4 ft3 6 ft3 8 ft3

Respuesta :

Im Very sorry for the bots (I hate when they do this) BUT the answer is 8ft 3 Hope it helps!!

To create an exact copy of the sculpture, the volume of material they must purchase is [tex]8\,\text{f}{{\text{t}}^{3}}[/tex].

What is the volume of a cuboid?

The volume of a cuboid is calculated by multiplying its length, width, and height.

The length and width of the triangle are identical since the base is a square.

[tex]L = W = 2\,{\text{ft, and }}H = 6\,{\text{ft}}[/tex]

Knows the volume of material he must purchase,

[tex]\text{Volume}=\frac{\text{Height}\times \text{length}\times \text{width}}{3}[/tex]

So,

[tex]\Rightarrow \text{Volume}&=\frac{2\times 2\times 6}{3} \\\Rightarrow \text{Volume}&=2\times 2\times 2\,\text{f}{{\text{t}}^{3}} \\ \Rightarrow \text{Volume}&=8\,\text{f}{{\text{t}}^{3}} \\[/tex]

Therefore, the volume of material they must purchase is [tex]8\,\text{f}{{\text{t}}^{3}}[/tex].

Learn more about the volume of cuboids, here:

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