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HELP ME PLEASE I NEED THIS LOVE U GUYS <33

HELP ME PLEASE I NEED THIS LOVE U GUYS <33-example-1
User Verklixt
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1 Answer

3 votes

Answer:


\huge\boxed{\sf Volume = 384 \ cm^3}

Explanation:

Slant Height = 10 cm

Base Edge = 12 cm

Finding the Height using Pythagorean Theorem:


\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


\rule[225]{225}{2}

Now, Finding the volume:


\sf Volume = a^2 (h)/(3)\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 (8)/(3) \\\\Volume = 144 (8)/(3) \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}


\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

User Mohamed Bdr
by
8.9k points

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