Find the area $ A $ of a pyramid if side $a = 8$ and slant height $s = 14$.

$A = 288$

STEP 1: find base area $ B $

To find base area $ B $ use formula:

$$ B = a^2 $$

After substituting $ a = 8 $ we have:

$$ B = 8^2 $$ $$ B = 64 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

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

After substituting $ a = 8 $ and $ s = 14 $ we have:

$$ L = 16 \cdot 14 $$$$ L = 224 $$

STEP 3: find total surface $ A $

To find total surface $ A $ use formula:

$$ A = B + L $$

After substituting $ B = 64 $ and $ L = 224 $ we have:

$$ A = 64 + 224 $$ $$ A = 64 + 224 $$ $$ A = 288 $$

Pyramid Calculator