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?

Question

Addison Faulkner

Mathematics

27 November, 07:09

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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Answers (1)

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Kassidy Wyatt · Answer 1

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