Cube practice problems - page 9 of 28
Number of problems found: 555
- Container with water
The cube-shaped container is filled with water to half its height. If we add 20 liters of water, the company will fill the container to three-quarters of its height. What is the volume of the whole container? - Calculate 22533
Calculate the weight of the cube, which is made of wood with a density ρ = 0.725 g / cm, the edge of the cube is 32 cm, - Plasticine 46461
How many grams of plasticine do we need to model a cube with an edge of 150 mm if 1 cm³ weighs 2.1 g? - Largest 6886
There are two cubes. One has an edge of 9 dm and the second of 9 cm. How often does the largest cube have a larger volume than a smaller one? - Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Volume and area
What is a cube's volume with an area of 361 cm²? - Two cubes 3
Two cubes modeled from plasticine have single-digit integer edge lengths with a difference of 1 cm. Can one large cube with an integer edge length be modeled from the same amount of plasticine?
- Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be? - Cube containers
Two containers shaped as cubes with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube? - Volume 33051
We have two cubes of the same weight. One is all made of glass, the other of cork. Which one has more volume, and how many times? - Cube-shaped 20193
The cube-shaped aquarium with an edge length of 40 cm is filled with 70% water. How many liters of water are in the aquarium, and how high does the water reach? - Granite cube statue
What is the weight of a granite cube with an edge length of 75 cm if one m³ of granite weighs 2.7 tons? - Surfaces 3793 The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes?
- Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
- Cubes and mouse
The mouse has 27 cubes, which it puts together in a large cube. Then it bit the middle cat on each side and another cat in the middle. The mouse has four children. He then cuts the cube lengthwise. How many cubes and what shape will four mice get? - Material 16923
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh? - Completely 82545 A granite cube with an edge length of 1 dm and a weight of 2.5 kg is completely immersed in a container of water. How much buoyancy does it lighten? How much pressure does the cube exert on the bottom of the container?
- Original 18203 There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube?
- Function 8437
Express the volume of a cube as a function of its edge size.
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