Volume + third power - practice problems - page 4 of 6
Number of problems found: 118
- 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. - Largest 6886
There are two cubes. One has an edge of 9 dm and the second of 9 cm. How often does the largest cube have a larger volume than a smaller one? - 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
- No smoke
Tobacco company NO-SMOKE adorned its stand at the cigarette-type trade fair with cigarette-shaped. The dimensions of which were 20 times the size of a regular cigarette. Regular cigarette contains 0.8 mg of nicotine. How much nicotine would a giant cigare - Length 6208
How does the volume of a cube change if we double the length of its edge? - 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? - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase?
- 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%. - Density 2
The driftwood has a mass of 25 grams and a volume of 30 cm to 3rd power. What is the density of a piece of driftwood? And how do I figure it out? - 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%? - 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. - Cube-shaped box
Find the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, and 6cm small cubes could be stacked to fully use the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?
- 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 - 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. - Completely 4226
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?
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
