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Each side will be 5 x 5 and the 3 x 3 in the centres will have 1 painted face so total will be 6 x 3 x 3 ie 54.

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How many cubes are not painted at all if a cube is painted green all sides and cut into 64 cubes of equal size?

How many smaller cubes are not painted at all if a cube is painted green on all sides & cut into 64 cubes of equal size?


A cube of 3x3x3 is painted from all the 6 faces If you cut the cube in 27 equal cubes of 1x1x1 then how many cubes will be painted from exactly 2 faces?

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A cube painted blue on all the faces is cut into 125 cubes of equal size then how many cubes are not painted on any face?

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What is the number of 4 cm cubes which can be cut from the solid cube whose edge is 32 cm?

Edge of the larger cube = 32 cm Volume of the larger cube = (32 cm)3 = 32768 cm3 Edge of the smaller cube = 4 cm Volume of the smaller cube = (4 cm)3 = 64 cm3 Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube. ∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube ⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube ⇒ Total number of smaller cubes = 32768 ÷ 64 = 512 Thus, 512 smaller cubes can be cut from the larger one.


A cube is painted green on all the sides. it is then cut into 64 cubes of equal size. how many of smaller cubes are painted on 1 side?

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