Cube + basic functions - practice problems - page 2 of 7
Number of problems found: 122
- 3y inflation
The price of the roll rise in the first year by 9%, the second year fell by 5%, and in the third year increased by 3%. Calculate the average annual increase in the price of the roll. - Material 65504
The cube with an edge of 1 cm weighs 0.2 kg. What is the weight of a cube made of the same material with an edge 4 cm long? - Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these? - Jointly and cube power
If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation representing this relationship. a. y=xz b. y = 2xz³ c.y = 2kx/z³ d.y = xz³/2
- 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. - Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest? - Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours? - Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers - 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?
- Function 8437
Express the volume of a cube as a function of its edge size. - 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? - 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? - 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. - Increases 14471
How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%?
- Children's 2730
When weighing the bodies from the children's kit, it turned out that one cube had the same weight as three cylinders and two cylinders had the same weight as six pyramids. How many pyramids have the same mass as one cube? - Lengthwise 2144
The mouse has 27 cubes, which it puts together in a large cube. Then she 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? - Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%. - Precisely 64114
We painted a wooden cube with an edge 4 cm long with green paint over the entire surface. Then we cut it into small cubes with an edge length of 1 cm. The number of cubes that have precisely two faces colored green is: - 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?
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