Square root + power - practice problems - page 3 of 10
Number of problems found: 185
- 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. - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Calculate 27441
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. - Calculate 27171
The volume of the right 4-side pyramid is 138 m3, and its height is 9m. Calculate the area of the base and the edge of its base.
- 1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book? - Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip? - Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm². - Cuboid to cube
A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube. - The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume.
- Perimeter 24701
The sales stand floor plan consists of squares and has an area of 48 m². What is the perimeter of these booths? a. 34 m b. 36 m c. 40 m d. 44 m - Two parallel chords
In a circle 70 cm in diameter, two parallel chords are drawn so that the circle's center lies between the chords. Calculate the distance of these chords if one of them is 42 cm long and the second 56 cm. - Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - Centimeter 23781
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter. - Dimensions 22991
What are the dimensions of a square with an area of 49dm square?
- Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - Quadrilateral 21523
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain? - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter? - Circumference 20933
Calculates the circumference of a circle if its area is S = 2119.5 cm².
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