Practice problems of the cube - page 11 of 27
Number of problems found: 533
- Perpendicular 5865
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube? - Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube? - One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, and 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a The number 1 falls on the cube. b, The number 5 falls on the cube. c, An ev - Rainfall
The annual average rainfall in India was 26 461 mm in Cherrapunji in 1981. How many hectoliters of water fell on one square meter? Would you fit this amount of water into a cube of three meters?
- CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains. - Millimeter 6629
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam? - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was.
- Heavier 4553
What is the mass of a cube of cast iron with an edge length of 2.3 dm if we know that the mass of 1 dm³ of cast iron is 7.3 kg? Will the same size cube of cork be heavier if we know that the weight of 1 m³ of cork is 250 kg? - Annual income
The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean. - Cube-shaped box
Find the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to fully use the box space (each type of cube separately). Can you find out how many smallest cubes are in the box? - Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have? - Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years periods.
- Completely 4226
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Volume per time
The length of the cube-shaped tank edge is 4 m. A pump has a capacity of 200 l per minute. How long does fill take for a pump to fill a cube-shaped tank up to 75% of its height? - Sugar cubes
The glass has 600 ml of tea, which represents 80% of the volume of the glass. If you put twenty regular sugar cubes of 2 cm in the tea, how many ml of tea are poured? - Three-quarters 37241
We have two cube-shaped tanks. The first has an edge of 12 dm long, and the second has an edge of 20% longer. By what % more or less water is there in the second tank if the first is three-quarters full and the second three-eighths full? - Compressive 18853
The granite cube with an edge length of 1 dm and a weight of 2.5 kg is immersed in a container with water. How much buoyancy makes it lighter? How much compressive force does the cube exert on the bottom of the container?
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