Third power - practice problems - page 6 of 9
Number of problems found: 164
- 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 93cm². 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 is 30 cm to the 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%? - 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.
- Cube-shaped box
Find the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 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 as 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 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.
- 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? - 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. On the second line, write a total of this number, and its one fifth. She wrote a sum of this number and its one nines on the third row. - 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?
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