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Three mental cubes of volumes 125 cm cube 64 cm cube and 27 cm cube are melted to common you cube then find the edge of new cube?
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Three mental cubes of volumes 125 cm cube 64 cm cube and 27 cm cube ar...
Understanding the Problem
To find the edge of a new cube formed by melting three smaller cubes with given volumes, we first need to determine the combined volume of the original cubes.
Volumes of the Original Cubes
- Volume of Cube 1 = 125 cm³
- Volume of Cube 2 = 64 cm³
- Volume of Cube 3 = 27 cm³
Calculating the Total Volume
To find the total volume of the new cube, we add the volumes of the three cubes:
- Total Volume = 125 cm³ + 64 cm³ + 27 cm³
- Total Volume = 216 cm³
Finding the Edge of the New Cube
The volume of a cube is calculated using the formula:
- Volume = edge³
To find the edge of the new cube, we set the volume equal to 216 cm³:
- edge³ = 216 cm³
Now, we need to find the cube root of 216:
- edge = cube root of 216
Calculating the Cube Root
The cube root of 216 can be calculated as follows:
- edge = 6 cm
Conclusion
The edge of the new cube formed by melting the three smaller cubes is:
- Edge length = 6 cm
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Three mental cubes of volumes 125 cm cube 64 cm cube and 27 cm cube are melted to common you cube then find the edge of new cube?
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