Cube root - math problems
Number of problems found: 100
- Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm respectively, can be packed.
- 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 a content of 10 cm2. Find the area of the
- Cube root
Find cube root of 18
Calculate the surface of the cube if its volume is 64 cm ^ 3.
- Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
- Endless lego set
The endless lego set contains only 6, 9, 20 kilograms blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And of course, they wrote down how much the building weighed. The
Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
- Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?
- Cuboid edges in ratio
Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
- Scale factor
A prism with a volume of 1458 mm3 is scaled down to a volume of 16mm3. What is the scale factor in fraction form?
- Body diagonal
The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
- Cube and sphere
Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
- Tower model
Tower height is 300 meters, weight 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result is a three-d
- Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m3 to have painted/bricked walls with the least amount of material.
- Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina
- Cube edge
Determine the edges of the cube when the surface is equal to 37.5 cm square.
- Volume and area
What is the volume of a cube which has an area of 361 cm2?
- 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. Determine the area of the base and walls of the prism.
- The cube
The cube has a surface area of 486 m ^ 2. Calculate its volume.