A solid cube of edge 7.5 cm. is melted and recasted into smaller cubes cach of edge 1.25 cm. How many number of smaller cubes are recasted?
Answers
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 x8cm³
Hence, number of cubes obtained = 343
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 x8cm³
Hence, number of cubes obtained = 343
Step-by-step explanation:
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