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mezya [45]
3 years ago
12

HELP ME PLEASE I NEED THIS LOVE U GUYS <33

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

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

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

<u>Finding the Height using Pythagorean Theorem:</u>

\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}

<u>Now, Finding the volume:</u>

\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}

\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
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