Ben collected 8 identical cubes, each of which has a surface area of 24 square inches. He assembled the 8 cubes to f o rm one larger cube. What is the volume, in cubic inches, of the large cube?

Question

Nancy Sawyer

Mathematics

18 March, 10:51

Ben collected 8 identical cubes, each of which has a surface area of 24 square inches. He assembled the 8 cubes to f o rm one larger cube. What is the volume, in cubic inches, of the large cube?

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Marcelo · Answer 1

Because the are identical cubes, they have the same volume, meaning you only have to find the volume of one of the cubes. if they have a surface area of 24 square inches, use this equation: the square root of (x/6). You would get 4 for the area of 1 side, and 2 for the legnth of one side. Then, multiply them to get the volume: 2 times 2 times 2: 8. Then multiply by 3 to get the area of the larger figure: 24 cubic inches.