Question

a metal cube of edge 12cm is melted and formed into three smaller cubes. if the edge of two smaller cubes are 6cm and 8cm, the edge of the third smaller cube is

Answer 1

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

Answer 2

volume of cube is a^3
so, volume with side 12 cm is 12^3 = 1728

volume of cube with sides 6 cm is 6^3 =216

similarly for 8 cm is = 8^3 = 512

volume of third cube = 1728 - (216 +512) =1000

now ,a^3 = 1000

therefore a = 10 cm answer