Functions + cube - practice problems
Number of problems found: 122
- Probability 83267
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color. - Original 83173
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge? - Centimeters 82756
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Allowances 82413
The teacher decided to sew covers for the eight-seat blocks in the school library. All cubes are cube-shaped with an edge 40 cm long. How many m² of fabric will the teacher need in total if the blocks are not lined from the bottom, and 5% must be added fo
- Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours? - Cube-shaped 81931
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill? - Circumference 81557
Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long. - Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Produced 81413
A cube of sugar weighs 6 grams. How many sugar cubes are produced from one sugar beet that weighs 0.9 kg; if its sugar content is 18 percent?
- Circumscribed 81025
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Decrease 80441
By what percent does a cube's volume decrease if its edge length is reduced by a quarter? - Opposite 79954
We color a wooden cube with an edge length of 3 cm so that three walls are blue, three are red, and no two opposite walls are the same color. Cut the cube into 1 cm³ cubes. How many cats will have at least one red wall and at least one blue wall? - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - A cube
A cube has a surface area of 64 ft². Hedy creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction?
- Cube-shaped 71414
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in - Shortest walk
An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point - Completely 67674
A) The maximum number of sugar cubes with a volume of 3375 cubic mm can fit in a new cube-shaped sugar bowl with internal dimensions of 12 cm, 6 cm, 3 cm? B) Mom poured sugar cubes into the new sugar bowl, filling it completely. She estimated that there w - Percentage 67564
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - Considering 67324
Susan has an old stool - a cube with an edge length of 80 cm. She wants to sew a new cover for her. How many square meters does the fabric consume, considering adding 15% for stitching and folds?
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