Dice & Cubes — practice questions, page 8
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QuestionThe pieces may not be moved or stacked between cuts. What is the least number of straight cuts…QuestionA cube-shaped cake is cut right through along every orange line shown. How many pieces of cake are…QuestionA cube is painted on all faces and cut into equal small cubes. Exactly 8 of the small cubes have…QuestionAfter a painted cube is cut into identical small cubes, 96 of them have paint on exactly one face.…QuestionA large painted cube is cut into equal small cubes, and 60 of the small cubes turn out to have…QuestionThis painted cube is cut into its small cubes. Counting every face of every small cube, what is…QuestionThe 8 corner cubes are taken out of a 4 × 4 × 4 cube built from small cubes. The solid that is…QuestionA square tunnel is cut straight through the middle of a 3 × 3 × 3 cube from front to back by…QuestionA slab 6 cubes long, 4 cubes deep and only 2 cubes high is painted on all six faces and cut into…QuestionOnly the top face of this cube is painted red. It is then cut along the lines. How many small…QuestionA painted cube is cut into eight equal small cubes by one cut in each direction, as shown. How…QuestionA cube is painted on five faces, every face except the bottom one, and then cut along the lines.…QuestionLike an open box turned upside down, this cube is painted on its top and its four sides but not…QuestionThe top of this cube is red, its front blue and its right side green; the three hidden faces are…QuestionA block of wood 10 cm long, 6 cm wide and 4 cm high is painted on every face and then cut into…QuestionEvery face of this cube is painted before it is cut along the lines. How many small cubes have an…QuestionAfter this painted cube is cut into its small cubes, how many small square faces in all carry paint?QuestionThe four side faces of this cube are painted green, but the top and bottom are left bare. How many…QuestionA cuboid 6 cubes long, 5 cubes deep and 4 cubes high is painted on all its faces and broken up…QuestionA cuboid is built from unit cubes, painted all over and taken apart. It was 4 cubes long and 3…QuestionA block is to be cut into the 30 small cubes marked on it, 5 along the length, 3 across and 2…QuestionA cube of butter is cut right through along the three orange lines shown, one in each direction.…QuestionThis cube, painted all over, is cut along the lines. How many small cubes have paint on at most…QuestionThe top and bottom of this cube are red, and the four sides blue. After it is cut along the lines,…QuestionThree faces of this cube that meet at one corner are painted yellow; the other three are bare.…
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