Question
There are two cubes. Their lengths are in the ratio 3:4, what is the simplified ratio between their volumes?
Answers
Bosnian
a1 = side length of first cube
a2 = side length of second cube
V1 = volume of first cube
V2 = volume of second cube
a1 / a2 = 3 / 4 Multiply both sides by a2
a1 = 3 a2 / 4 = ( 3 / 4 ) a2
V1 / V2 = a1³ / a2³ =
[ ( 3 / 4 ) a2 ]³ / a2³ =
( 27 / 64 ) a2³ / a2³ = 27 / 64
a2 = side length of second cube
V1 = volume of first cube
V2 = volume of second cube
a1 / a2 = 3 / 4 Multiply both sides by a2
a1 = 3 a2 / 4 = ( 3 / 4 ) a2
V1 / V2 = a1³ / a2³ =
[ ( 3 / 4 ) a2 ]³ / a2³ =
( 27 / 64 ) a2³ / a2³ = 27 / 64