Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The formula for the volume of a cube is s3, where s is the length of one side.Glendale Gourmet sells cheese cubes with a side length of 2 centimeters. The volume of each cheese cube is cubic centimeters.The manager is considering selling cheese cubes with a side length of 4 centimeters. The volume of each cheese cube would be cubic centimeters.The volume of the larger cheese cube is times larger than the smaller cheese cube.
Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The formula for the volume of a cube is s3, where s is the length of one side.Glendale Gourmet sells cheese cubes with a side length of 2 centimeters. The volume of each cheese cube is cubic centimeters.The manager is considering selling cheese cubes with a side length of 4 centimeters. The volume of each cheese cube would be cubic centimeters.The volume of the larger cheese cube is times larger than the smaller cheese cube.
Solution
The volume of a cube is calculated by cubing the length of one side.
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For the smaller cheese cube with a side length of 2 centimeters, the volume would be 2^3 = 8 cubic centimeters.
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For the larger cheese cube with a side length of 4 centimeters, the volume would be 4^3 = 64 cubic centimeters.
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To find out how many times larger the larger cheese cube is compared to the smaller one, divide the volume of the larger cube by the volume of the smaller cube. So, 64/8 = 8.
Therefore, the volume of the larger cheese cube is 8 times larger than the smaller cheese cube.
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