Geometry - math word problems - page 135 of 165
Number of problems found: 3289
- Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - TV transmitter
The volume of water in a rectangular swimming pool is 6,998.4 hectolitres. A promotional leaflet states that if all the pool water were to fill a regular quadrilateral prism with a base edge equal to the average depth of the pool, the prism would have to - Carnival hat paper
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head perimeter is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - What power
What power should a radiator have in a room measuring 5 × 4 metres with a height of 3 metres? Hint: Use 35 watts per m³ for rooms requiring 22 °C, or about 40 watts per m³ for bathrooms requiring 24 °C. This is a rule of thumb for estimating heating requi - Milk cartons
Monica measured the dimensions of two different milk cartons. One had dimensions of 9*5.8*19.6 cm, the other 9.4*6.3*17.3 cm. She wanted to see if less material was used to make a particular box. Check it out and find out what percentage of material is sa - Block-shaped tank
The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it? - Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums? - Paints - one-kilo cans
Mr. Novák is going to paint a shed which is 2.2 m high, 3 m wide, and 4.5 m long. On one side there is a window with dimensions 1*1.2 m. For one coat, 1 kg of paint per m² is used. One-kilogram cans cost 80 Kč, the more cost-effective two-kilogram cans co - Air thermal
Imagine that a unit of air rises 3000 meters high. If the temperature decreases 6 degrees Celcius for every 1000 meters, what will be its temperature at 1400 meters, 2000 meters, 2500 meters, and when it reaches the 3000-meter elevation? The starting temp - The concrete basement
The concrete base has a square base a = 90 cm and is 0.2 m high. How many kg of concrete did we use to build it if the concrete density is ρ=2200 kg/m³? - Circle intersections
How many intersections do circles with radii of 10 cm and 6 cm have if the distance between their centers is 3 cm? - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Assume
Two naughty boys broke the glass in a front door. The glass measured 105 cm × 150 cm and was 6 mm thick. They decided to pay for the glass from their savings and, assuming it would weigh no more than 12 kg, planned to carry it and ask the caretaker to ins - Reduce of the volume
Calculate how many % reduce the volume of the cube is reduced the length of each edge by 10%. - Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28 cm and 44 cm? The hat side length is 30 cm. Add 5% of the material to the bust. Round to cm². - Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - The ball
The ball has a radius of 2 m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
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