STEP 1: find side $ a $

To find side $ a $ use formula:

After substituting $B = 64\, \text{cm}$ we have:

$$ B = a^2 $$ $$ a^2 = 64\, \text{cm} $$ $$ a = \sqrt{ 64\, \text{cm} } $$ $$ a = 8 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

$$ A = B + L $$

After substituting $A = 304\, \text{cm}$ and $B = 64\, \text{cm}$ we have:

$$ 304\, \text{cm} = 64\, \text{cm} + L $$ $$ L = 304\, \text{cm} - 64\, \text{cm} $$ $$ L = 240\, \text{cm} $$

STEP 3: find slant height $ s $

To find slant height $ s $ use formula:

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

After substituting $L = 240\, \text{cm}$ and $a = 8\, \text{cm}^0$ we have:

$$ 240\, \text{cm} = 2 \cdot 8 \cdot s $$$$ 240\, \text{cm} = 16 \cdot s $$$$ s = \dfrac{ 240\, \text{cm} }{ 16 } $$$$ s = 15\, \text{cm} $$

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