Square (second power, quadratic) + third power - practice problems - page 3 of 4
Number of problems found: 64
- Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Surface area 6156
The area (surface of the shell) of the cube is 93 cm². What is the volume of the cube? - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%.
- Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Body diagonal The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - 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. - Determine 3888
Determine the sum of the three-third roots of the number 64.
- 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? - Volume and area
What is a cube's volume with an area of 361 cm²? - Infinitely 3818
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 - Equation: 3726
Determine the real root of the equation: x-3: x-8 = 32 - The cube
The cube has a surface area of 486 m². Calculate its volume.
- Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Balls
Three metal balls with volumes V1=81 cm3, V2=96 cm3, and V3=28 cm³ were melted into one ball. Determine its surface area. - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface?
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
