# Square root + third power - practice problems

#### Number of problems found: 34

- Evaluate 26

Evaluate square root: √1³+2³+3³+4³= - Seventh term

The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Liters 44041

What is the length of the edge of a cube with a volume of V = 1728 liters? - Cube-shaped box

The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box. - Cube V2S

The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Millimeter 30041

Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter. - Ball-shaped 28481

How many m² of material is needed to make a ball-shaped balloon with a volume of 950 m³? - 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? - 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. - 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. - Diameter 21173

The water ball has a volume of 32,500m². How big is its diameter? - 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? - Probability 17013

What is the probability that a randomly written two-digit number from number 20 to number 99 will be divisible by 11, the power of number 3, or a prime number? - One third power

Which equation justifies why ten to the one-third power equals the cube root of ten? - Length of the edge

Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number. - Alien ship

The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - Three members GP

The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Cube diagonals

Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.

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