Question

if each edge of a cube es decreased by 25%,
then find the ratio of volume
of the cubes .​

Answer 1

let a be the edge of the cube

Thus, vol³= a³

Now, after decreasing 25%

i.e (a-25% of a) the new edge is

= a-0.25a

= 0.75a

Vol³= (0.75a)³

Ratio = a³/(0.75a)³

= a × a× a

0.75a × 0.75a × 0.75a

= 100 × 100 ×100

75× 75 ×75

= 4 × 4 × 4

3 × 3 × 3

= 64/27

the ratio of their volume is 64:27