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. 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?

Question

Alonso Ali

Mathematics

29 May, 22:35

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. 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?

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Answers (2)

Know the Answer?

Dawson Moss · Answer 1

8ft cubed (d/4) is the correct answer

Caroline Lynch · Answer 2

This is the concept of volumes of solid figures;

To calculate for the volume of material required we calculate for the volume of the pyramid;

volume of the pyramid is given by:

volume = (length*width*height) / 3

but in our case the base of the pyramid is square, therefore:

length=width=2 ft

height=6 ft

hence;

volume = (2*2*6) / 3

volume=8 ft^3

The answer is 8 ft^3