Answer:
d. [tex]8\text{ ft}^3[/tex]
Step-by-step explanation:
We have been given that Cheng measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
First of all, we will find height of each pyramid by dividing height of whole sculpture by 4 as:
[tex]\frac{6\text{ ft}}{4}=1.5\text{ ft}[/tex]
We know that volume of a pyramid is equal to 1/3 of base area times height that is [tex]V=\frac{bh}{3}[/tex], where b represents area of base.
[tex]V=\frac{(2\text{ ft})^2\times\text{ 1.5 ft}}{3}=4\times 0.5\text{ ft}^3=2\text{ ft}^3[/tex]
Since volume of one pyramid is equal to 2 cubic feet, so volume of 4 pyramids will be 4 times 2 cubic feet that is 8 cubic feet.
Therefore, Cheng must purchase 8 cubic feet of material.
