Prime numbers + third power - practice problems

Number of problems found: 10

The sum 13
The sum of the exponents of the prime factors in the prime factorization of 196 is. .. .
An example
An example is playfully for grade 6 from Math and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of t
The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
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.
Cube root
Find cube root of 18
Cube-shaped box
Design the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to make full use of the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?
Z9-I-4
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
Tiles
How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles?
Primes 2
For what primes p,q,r is true: p²-(q+r)²=647
Tiles
From how many tiles 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 881 tiles.

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Prime numbers - practice problems. Third power - practice problems.