Cube + expression of a variable from the formula - practice problems - page 3 of 10
Number of problems found: 192
- 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. - Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water? - Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers - 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? - Volume 62064
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box? - 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. - Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm. - 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? - Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter. - Dimensions 3086
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes? - A plasticine
Jožko modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm? - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes. - Cube 5
The surface of the cube is 15.36 dm². How will change the surface area of this cube if the length of the edges is reduced by 2 cm? - Increases 14471
How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%? - Four-thirds 3852
Anton said: I have a natural number x. I'll get three times as much if I increase it to four-thirds. What number did Anton mean? - Original 63984
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge? - Mountain 64314
The hiker set out on a hike at 5 km/h. After 30 minutes, a cyclist on a mountain bike set off on the same route at 20 km/h. How many minutes will the cyclist overtake the tourist?
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