Question
Find the volume $ V $ of a cube if area $A = 124.03\, \text{mm}^2$.
Answer
$93.986\, \text{mm}^3$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ A = 6 \cdot a^2 $$After substituting $A = 124.03\, \text{mm}^2$ we have:
$$ 124.03\, \text{mm}^2 = 6 \cdot a^2 $$ $$ a^2 = \dfrac{ 124.03\, \text{mm}^2 }{ 6 } $$ $$ a^2 = 20.6717\, \text{mm}^2 $$ $$ a = \sqrt{ 20.6717\, \text{mm}^2 } $$$$ a \approx 4.5466\, \text{mm} $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = a^3 $$After substituting $a = 4.5466\, \text{mm}$ we have:
$$ V = \left( 4.5466\, \text{mm} \right)^{3} $$ $$ V = 93.986\, \text{mm}^3 $$This page was created using
Cube Calculator