Cube + functions - practice problems
Number of problems found: 124
- Paul makes
Paul makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube? - Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating? - Decrease 80441
By what percent does a cube's volume decrease if its edge length is reduced by a quarter? - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number.
- Surface of wall
Find by what percentage the cube's surface will decrease if we reduce the surface of each of its walls by 12%. - Reduce of the volume
Calculate how many % reduce the volume of the cube is reduced the length of each edge by 10%. - Probability 83267
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color. - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase? - Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box?
- Cube surface area
The surface of the cube was originally 216 centimeters square. The surface of the cube has shrunk from 216 to 54 centimeters sq. Calculate how much percent the edge of the cube has decreased. - Surface area 2
Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%. - Length 6208
How does the volume of a cube change if we double the length of its edge? - Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Water container
The cube-shaped container is filled to two-thirds of its height. If we pour 18 liters, it will be filled to three-fifths of the height. What is the volume of the whole container?
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Definitely 83326
We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason.
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