Question
Find the volume $ V $ of a cube if area $A = 96\, \text{cm}$.
Answer
$64$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ A = 6 \cdot a^2 $$After substituting $A = 96\, \text{cm}$ we have:
$$ 96\, \text{cm} = 6 \cdot a^2 $$ $$ a^2 = \dfrac{ 96\, \text{cm} }{ 6 } $$ $$ a^2 = 16\, \text{cm} $$ $$ a = \sqrt{ 16\, \text{cm} } $$ $$ a = 4 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = a^3 $$After substituting $a = 4\, \text{cm}^0$ we have:
$$ V = 4 $$ $$ V = 64 $$This page was created using
Cube Calculator