Geometry - math word problems - page 139 of 165
Number of problems found: 3289
- Water level
The glass container has a cuboid shape, with dimensions at the bottom of 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume sunk into the water if the water level rises by 3 cm. - Four-sided turret
The turret has the shape of a regular four-sided pyramid with a base edge 0.8 m long. The height of the turret is 1.2 m. How many square meters are needed to cover it, counting the extra 10% sheet metal waste? - Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6 m and 3 m and a height of 2.5 m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - Store - silo
A cylindrical silo (d = 4 m, h = 8 m) is about 70% full. How many m³ of silage are stored in it? Round the result to the nearest whole number. - Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. To avoid attracting attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal? - Pyramid cutting calculation
The regular quadrilateral pyramid has a height of 40 cm and a base side of 21 cm. Cut the needle at half the height. How much will both parts have? - Box metal
A box is shaped like a cube with an edge of 52 cm. How many m² of sheet metal are needed to make the box with a lid? Add 5% for the folds of the lid and walls. - Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5 °C b) 10 °C c) 15 °C d) 20 °C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) - Construct 22
Construct a rhombus ABCD if the diagonals are f = 7 cm and e = 5 cm. - Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter? - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5). - Circle line position
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called? - Constructing a Square
Construct a square if u-a = 1 - The sum graphically
Draw a graphical sum of all sides of 4-gon ABCD. - Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model. - Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Glass Door Panel Weight
What is the weight of the glass door panel if it is 5 mm thick, 2.1 m high, and 6.5 d wide? The density of glass is 2.5 kg/dm³. - Water level
To cuboid-shaped poll, bottom size 2 m and 3.5 m, flows water at a rate of 50 liters per minute. How long will it take for water to reach a level of 50 cm? - Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Cone in cylinder
The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage.
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