Question

find the number of cubes or edge length 8 cm that can be obtained by melting an iron cube of edge length 40 cm​

Answer 1

Answer:

Volume of a cube of edge a=a3

So, the volume of the original cube of edge 14cm=143=2744cm3

Volume of the smaller cube of edge 2cm=23=8cm3

As the cube of edge 14cm is melted and smaller cubes of edge 2cm are formed from it.

Volume of cube of edge 14cm= Number of cubes formed × Volume of cube of edge 2cm

2744cm3= Number of cubes ×8cm3

Hence, number of cubes obtained =343

Answer 2

Answer:

125 cubes will form

Step-by-step explanation:

$volume of cube=side^3\\v1=40^3 = 64000cm^3\\v2=8^3 = 512cm^3\\so \\number of cubes can form is\\=v1/v2\\=64000/512\\=125$