Question

a metallic cube of side measuring 12cm is melted to form three smaller cube.if the edges of two smaller cubes are length 6cm and 8 cm respectively .Find the edge of the third cube

Answer 1

Answer:

Given,

Edge(side)=12cm

Volume =side^3

=》 12×12×12

Melted into 3 cubes of volume

cude with side 6cm

=6×6×6

cube with side8cm

=8x8x8

let the side be x

then

(8x8x8)+(6×6×6)+(x×x×x)=12×12×12

=》x^3=(12×12×12)-728

=》x^3=1728-728

=》x^3=1000

=》x=10