Find the height $ h $ of a pyramid if side $a = 4$ and total surface $A = 16$.
Answer
Problem has no solutions.
Explanation
STEP 1: find base area $ B $
To find base area $ B $ use formula:
$$ B = a^2 $$After substituting $ a = 4 $ we have:
$$ B = 4^2 $$ $$ B = 16 $$STEP 2: find lateral surface $ L $
To find lateral surface $ L $ use formula:
$$ A = B + L $$After substituting $ A = 16 $ and $ B = 16 $ we have:
$$ 16 = 16 + L $$ $$ L = 16 - 16 $$ $$ L = 0 $$The result has to be greater than zero. $ \Longrightarrow $ The problem has no solution.
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