Find the area $ A $ of a cube if volume $V = 4096\, \text{cm}$.
Answer
$1536$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $V = 4096\, \text{cm}$ we have:
$$ V = a^3 $$ $$ a^3 = 4096\, \text{cm} $$ $$ a = \sqrt[3]{ 4096\, \text{cm} } $$ $$ a = 16 $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = 6 \cdot a^2 $$After substituting $a = 16\, \text{cm}^0$ we have:
$$ A = 6 \cdot 16 $$ $$ A = 1536 $$ $$ A = 1536 $$This page was created using
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