To calculate the external surface and volume of the cube given in the figure. If the cube is divided into 8 equal parts-cubes, how much external surface and volume does each of them have? How much greater is the sum of the areas of the individual 8 cubes with side 0.5m in relation to the total area of ​​the cube with side 1m? To compare the total volume of the small cubes in relation to the volume of the cube with side 1m.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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 To calculate the external surface and volume of the cube given in the figure. If
the cube is divided into 8 equal parts-cubes, how much external surface and
volume does each of them have? How much greater is the sum of the areas of the
individual 8 cubes with side 0.5m in relation to the total area of ​​the cube with
side 1m? To compare the total volume of the small cubes in relation to the volume
of the cube with side 1m.
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