Answer:
[tex]\huge\boxed{\sf Volume = 48 \ ft^3}[/tex]
Step-by-step explanation:
Slant Height = 5 ft
Finding Height using Pythagorean Theorem:
[tex]\sf c^2 = a^2 + b^2 \\\\Where \ c = 5 ft (Slant \ height) \ and\ b = 3 ft (Half \ of \ base)\ and\ a \ is\ height \\\\5^2 = a^2+3^2\\\\a^2 = 25-9\\\\a^2 = 16\\\\Taking \ sqrt \ on \ both \ sides\\\\Height = 4 \ ft[/tex]
[tex]\rule[225]{225}{2}[/tex]
Now, Finding the volume:
[tex]\sf Volume = a^2 \frac{h}{3} \\\\Where \ a \ is \ base \ edge \ and \ h \ is \ height\\\\Volume = (6)^2\frac{4}{3} \\\\Volume = 36 \frac{4}{3} \\\\Volume = 12*4\\\\\bold{Volume = 48 \ ft^3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807
