Find the area $ A $ of a pyramid if slant height $s = 12$ and base area $B = 225$.

$A = 585$

STEP 1: find side $ a $

To find side $ a $ use formula:

After substituting $ B = 225 $ we have:

$$ B = a^2 $$ $$ a^2 = 225 $$ $$ a = \sqrt{ 225 } $$ $$ a = 15 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

$$ L = 2 \cdot a \cdot s $$

After substituting $ a = 15 $ and $ s = 12 $ we have:

$$ L = 30 \cdot 12 $$$$ L = 360 $$

STEP 3: find total surface $ A $

To find total surface $ A $ use formula:

$$ A = B + L $$

After substituting $ B = 225 $ and $ L = 360 $ we have:

$$ A = 225 + 360 $$ $$ A = 225 + 360 $$ $$ A = 585 $$

Pyramid Calculator