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?
Answers
Answer: 184
Step-by-step explanation:
8 x 2 = 16 - 16 x 3 = 48 - 48 x 4 = 192
192-8=184
Given : 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.
To find : How many more cubes does Samuel use than Edmund
Solution:
Edmund makes a cube using eight small cubes
Let say Small Cube Size = 1 Units
Small Cube Volume = 1 cubic Units
Volume of 8 Cubes = 8 cubic Units
∛8 = 2
Hence Edmund Cube Dimension = 2 * 2 * 2 units
Samuel Cuboid Size
Long = 2 * 2= 4 units
Wide = 3 * 2 = 6 units
Height = 4 * 2 = 8 units
Volume of Cuboid = 4 * 6 * 8 = 192 Cubic Units
Hence cube used by Samuel = 192
more cubes Samuel use than Edmund = 192 - 8 = 184
184 more cubes Samuel use than Edmund
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