Cube root + third power - practice problems - page 3 of 5
Number of problems found: 88
- Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
- The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube.
- Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
- Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally.
- Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter.
- Volumes 7252
The block and the cube have the same volumes of 512 cm3, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length?
- Calculate 7246
The dice have a volume of 80 cm³. Calculate the edge size in mm.
- Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge.
- 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 an area of 10 cm². Find the area of the or
- Cube root
Find the cube root of 18
- Big cube
Calculate the cube's surface, which is composed of 64 small cubes with an edge 1 cm long.
- Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam?
- Measuring 6188
Find the length of the cube's edge and its volume is equal to 60% of the volume of a block measuring 7 cm, 8 cm, and 6 cm.
- Surface area 6156
The area (surface of the shell) of the cube is 93 cm². What is the volume of the cube?
- 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 edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³.
- 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?
- 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
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