Cube root - practice problems - page 8 of 11
Number of problems found: 214
- Cube and sphere
A cube with a surface area of 150 cm² is inscribed in a sphere. What is the surface area of the sphere? - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - Aquarium volume
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Cube measurements
Calculate the diagonal of the cube, with the circumference of one of its walls being 48 cm. Then, determine its surface and volume. - Area of a cube Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
- Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one ninth on the third row. Finall - Complex roots
Find the sum of the fourth square root of the number 16. - Cube edge
Determine the edge length of a cube whose surface area is 37.5 cm². - Third roots Determine the sum of the three complex third roots of the number 64 .
- Root ratio
Determine the ratio of the square root of the number 27 and the square root of the number 16. - Number puzzle Anthony said: I have a natural number x. if I multiply it by four-thirds, I get three times the original. What number did Anthony mean?
- Volume and area What is a cube's volume with an area of 361 cm²?
- Root equation
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - Cube diagonals
A cube has an edge length of 5 cm. Draw its different diagonals. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area. - Cube Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
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