Geometry - math word problems - page 150 of 165
Number of problems found: 3289
- Z9–I–1
All nine fields of given shape are to be filled with 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 t - Block volume ratio
The block surface is 5.632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Cube Edge from Surface
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7 cm, 8 cm, 6 cm - Gold Cube Weight
How much does a gold cube weigh, 30 x 30 x 30 cm? - Cube volume comparison
We have two cubes of the same weight. One is all made of glass, the other of cork. Which one has more volume, and how many times? - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Spherical cap
From a sphere with radius 26, a spherical cap was cut. Its height is 2. What part of the volume is a spherical cap from the whole sphere? - Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation. - Hydrostatic pressure
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Z8–I–5 MO 2019
For eight different points as shown in the figure: points C, D, and E lie on a line parallel to line AB; F is the midpoint of segment AD; G is the midpoint of segment AC; and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and - Aquarium tube filling
Water flows into an aquarium with dimensions of 14x26x3 m through a tube with a diameter of 5 cm at a speed of 2 m/s. How long does it take for the aquarium to fill with water? - Iron density
Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm³. - Point distance minimization
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [-17; 10; 9] m1 = 23 kg A2 [-16; -19; 0] m2 = 31 kg A3 [4; -14 - Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi - Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m². - Function table graph
Calculate and write in the table 10 values of the function f: y = 3x + 1, and the function's graph from them. - Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - Cube changes
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%?
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