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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
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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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? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 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? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 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? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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