Question
Find the side $ a $ of a cube if area $A = 144\, \text{mm}^2$.
Answer
$2 \sqrt{ 6 }\, \text{mm}$
Explanation
To find side $ a $ use formula:
$$ A = 6 \cdot a^2 $$After substituting $A = 144\, \text{mm}^2$ we have:
$$ 144\, \text{mm}^2 = 6 \cdot a^2 $$ $$ a^2 = \dfrac{ 144\, \text{mm}^2 }{ 6 } $$ $$ a^2 = 24\, \text{mm}^2 $$ $$ a = \sqrt{ 24\, \text{mm}^2 } $$ $$ a = 2 \sqrt{ 6 }\, \text{mm} $$This page was created using
Cube Calculator