Dice & Cubes — practice questions, page 9
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QuestionRavi paints just the top of a cube blue and cuts it along the lines shown. How many of the small…QuestionA cuboid 6 cubes long, 4 deep and 3 high has its two largest faces painted red, its two smallest…QuestionEighteen small cubes are glued into this block, 3 by 3 and two layers high. The whole outside,…QuestionA 3 × 3 × 3 cube is painted on all faces and cut up. The centre cube and the six cubes from the…QuestionA cube painted blue all over is cut into 1000 equal small cubes. How many of the small cubes have…QuestionA cube is painted on every face and sliced into 216 identical small cubes. How many small cubes…QuestionA flat tile made of one layer of small cubes, 3 by 3, is painted on every face, top, bottom and…QuestionA rod of four small cubes in a row is painted all over and then broken into the four cubes. How…QuestionA painted cube is cut into identical small cubes. The number of small cubes with no paint is…QuestionA block of cheese is cut right through along each orange line. How many pieces are there after all…QuestionOnly the front and back faces of this cube are painted. How many of the small cubes have no paint…QuestionOnly two faces of this cube are painted, the top yellow and the front blue. After cutting along…QuestionThe three faces you can see in the picture are painted; the hidden ones are not. After the cube is…QuestionOpposite faces of this cube match: the two sides red, front and back blue, top and bottom green.…QuestionA block 7 cubes long, 5 cubes deep and 3 cubes high is painted on all six faces and cut up. How…QuestionThis cuboid of small cubes, 6 long, 3 deep and 3 high, is painted all over and taken apart. How…QuestionThis painted cube is cut along the lines and one small cube is picked at random. What fraction of…QuestionA painted cube is cut into eight equal smaller cubes. Counting all eight small cubes together, how…QuestionA square shaft two cubes wide is cut straight down through the middle of a 4 × 4 × 4 block of…QuestionHow many cubes make up this small stack? Every cube rests on the floor or on another cube.QuestionCount the cubes in this corner staircase. Hidden cubes hold up the ones above them.QuestionA low wall is built from identical cubes, with a step in front. How many cubes are used?QuestionLooking straight down on this arrangement of cubes from above, how many square cube tops would you…QuestionHow many more cubes are needed to turn this stack into a solid cube two cubes long, two wide and…QuestionShalini built this shape from building blocks that are all the same size. How many blocks did she…
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