# Numbers - math word problems

#### Number of problems found: 2411

- Scale

The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm². What scale is the city plan? - Axial section

The axial section of the cone is an equilateral triangle with area 122 m². Calculate the volume of the cone. - Sugar - cuboid

Pejko received from his master cuboid composed of identical sugar cubes with count between 1000 and 2000. The Pejko eat sugar cubes in layers. The first day eat one layer from the front, second day one layer from right, the third day one layer above. Yet - Triangle TBC

TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB? - Tractors

Fields go plow two tractors with various performances. The first tractor plows the whole field in 11 hours, the second tractor plows the whole field 19 hours longer. How long take plow the whole field with two tractors? - Rainfall

Annual rainfall in our country is an average of 797 mm. How many m³ of water rains on average per hectare? - Modulus and argument

Find the mod z and argument z if z=i - Garden

Father dig up the garden in 11 hours. Son in 15 hours. How many hours take dig up the garden together? - Cube, cuboid, and sphere

Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. At what rate are the volumes of cube, cuboid, and sphere? - Cube in a sphere

The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Logs

The trunk diameter is 52 cm. Is it possible to inscribe a square prism with side 36 cm? - Bevel

I have bevel in the ratio 1:6. What is the angle and how do I calculate it? - Z9–I–1

In all nine fields of given shape to be filled natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in the cir - Cornbreads

If 4 and a half teaspoons of baking powder are need to make 10 servings of cornbread, how many teaspoons are needed to make 25 servings? - 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. - 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 construction

A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Triangular prism

The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - 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. - 2x cone

Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.

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