The volume of a cube is 13.75cmcube, find the length of the cube
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How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm, 8.9 cm, and 13.75 cm?
volume of box = 11.60 x 8.90 x 13.75 = 1419.55 Cu.,cm
volume of cube = 2.5 x 2.5 x 2.5 = 15.625 http://Cu.cm
No., of cubes that could be fit inside the box = 1419.55 / 15.625 = 90.85 truncated to 90 cubes.
However since the plan area of the box is 11.60 cm x 8.9 cm only 11.60/2.5 = 4.64 truncated to 4 cubes and 8,90/2.5 = 3.56 truncated to 3 cubes can be accommodated in one layer. No., of layers = 13.75 / 2.5 = 5.5 truncated to 5 cubes. Total number of cubes that could be accommodated inside the box will 4 x 3 x 5 = 60 cubes as the solid cubes cannot be squeezed and pushed inside the box.
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