Third power - high school - practice problems
Number of problems found: 50
- Determine 3888
Determine the sum of the three-third roots of the number 64. - Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Stationary 57031
Determine the distance of a stationary satellite from the Earth's surface. - Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - 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. - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Equation: 3726
Determine the real root of the equation: x^-3: x^-8 = 32 - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81] - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase? - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Perfect cube
Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331 - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm³. Round to the nearest centimeter. - 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? - 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.
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