Question

if the side of a cube is halfed is there any change?why

Answer 1

let the side of original cube be a
then it's volume = a³
if the sides are halved,
side =
$\frac{a}{2}$
then volume =
${ \frac{a}{ {2}^{3} } }^{3}$
= a³/ 8
hence (new volume)/(original volume)
a³/ (a³/8)
= 1/8
therefore, if side is halved the volume of the cube will become one-eighth of the original volume
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