Answer:
[tex]\huge\boxed{\sf Volume = 384 \ cm^3}[/tex]
Step-by-step explanation:
Slant Height = 10 cm
Base Edge = 12 cm
Finding the Height using Pythagorean Theorem:
[tex]\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm[/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 = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807
