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125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely?
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125 small but identical cubes have been put together to form a large c...
Calculating the Number of Small Cubes Required to Cover the Large Cube
To calculate the number of small cubes needed to cover the large cube, we need to follow these steps:
Step 1: Calculate the Number of Small Cubes in the Large Cube
- Since the large cube is formed by putting together 125 small cubes, we can calculate the total number of small cubes in the large cube by taking the cube root of 125.
- The cube root of 125 is 5, so there are 5 small cubes in each edge of the large cube.
- Therefore, the total number of small cubes in the large cube is 5 x 5 x 5 = 125.
Step 2: Calculate the Volume of the Large Cube
- To calculate the volume of the large cube, we need to cube the length of one edge of the large cube.
- Since each edge of the large cube consists of 5 small cubes, the length of one edge is 5 small cubes.
- Therefore, the volume of the large cube is 5 x 5 x 5 = 125 cubic units.
Step 3: Calculate the Number of Small Cubes Required to Cover the Large Cube Completely
- To cover the large cube completely, we need to find the number of small cubes that can fit into the volume of the large cube.
- Since the volume of the large cube is 125 cubic units and each small cube has a volume of 1 cubic unit, we need 125 more small cubes to cover the large cube completely.
Therefore, 125 more small cubes will be required to cover the large cube completely.
To calculate the number of small cubes needed to cover the large cube, we need to follow these steps:
Step 1: Calculate the Number of Small Cubes in the Large Cube
- Since the large cube is formed by putting together 125 small cubes, we can calculate the total number of small cubes in the large cube by taking the cube root of 125.
- The cube root of 125 is 5, so there are 5 small cubes in each edge of the large cube.
- Therefore, the total number of small cubes in the large cube is 5 x 5 x 5 = 125.
Step 2: Calculate the Volume of the Large Cube
- To calculate the volume of the large cube, we need to cube the length of one edge of the large cube.
- Since each edge of the large cube consists of 5 small cubes, the length of one edge is 5 small cubes.
- Therefore, the volume of the large cube is 5 x 5 x 5 = 125 cubic units.
Step 3: Calculate the Number of Small Cubes Required to Cover the Large Cube Completely
- To cover the large cube completely, we need to find the number of small cubes that can fit into the volume of the large cube.
- Since the volume of the large cube is 125 cubic units and each small cube has a volume of 1 cubic unit, we need 125 more small cubes to cover the large cube completely.
Therefore, 125 more small cubes will be required to cover the large cube completely.
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125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely?
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125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely?.
125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 125 small but identical cubes have been put together to form a large cube. how many more such small cubes will be required to cover this large cube completely?.
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