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15 October, 23:40

Edmund makes a cube using eight small cubes. Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. How many more cubes does Samuel use than Edmund?

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  1. 15 October, 23:47
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    Step-by-step explanation:

    The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m

    Each side of the cube made is 2m

    Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are

    Length = 2 * 2 = 4m

    Width = 3 * 2 = 6m

    Height = 4 * 2 = 8m

    Volume = length * width * height

    Volume = 4 * 6 * 8 = 192 m³

    Number of small cubes used is 192/1 { = 192

    The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes
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