Answer:
B. 150 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid is:
V = [tex]\frac{1}{3}Bh[/tex] where B = the area of the base and h = height of the pyramid
Since the base of the pyramid is a square, we can take the length of the side squared:
A = s²
A = 5² = 25 ft²
Using B = 25 and h = 18:
V = [tex]\frac{1}{3}*25*18=150ft^{3}[/tex]
The volume of a square oblique pyramid is given by:
volume = [tex]\dfrac{1}{3}bh[/tex]
Where:
b is the area of the base of the pyramid
h is its height.
Base is a square
so, base area(b)=area of square
= 5² feet²
= 25 feet²
and h=18 feet
Volume=[tex]\dfrac{1}{3}\times 25\times 18[/tex]
=150 feet³
Hence, Correct option is:
B. 150 ft³
