Answer:
The volume of the pyramid in cubic yards is
[tex]3,386,880\ yd^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
whereB is the area of the base of the pyramid
h is the height of the pyramid
Step 1
Convert feet to yards
Remember that
[tex]1 ft=\frac{1}{3}yd[/tex]
[tex]756\ ft=756*\frac{1}{3}=252\ yd[/tex] -----> square base measure
[tex]480\ ft=480*\frac{1}{3}=160\ yd[/tex] -----> height measure
Step 2
Find the volume of the pyramid
Find the area of the base B
[tex]B=252^{2}=63,504\ yd^{2}[/tex]
substitute the values of B and h in the formula
[tex]V=\frac{1}{3}(63,504)(160)=3,386,880\ yd^{3}[/tex]
