Geometry - math word problems - page 133 of 162
Number of problems found: 3227
- Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof?
- Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.
- Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube.
- 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
- Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of
- Parallelogram 72044
Assembly parallelogram ABCD: AB = 4.8cm, va = 3cm, BC = 4cm. Calculate the circuit. Make a sketch.
- Construct 61354
Construct an ABCD diamond with side a = 4.8cm, and the angle at vertex B is 60 °
- Trapezoid 2792
Draw a trapezoid with arms 4 cm and 7 cm long and with bases 3 cm and 5 cm long
- Decrease 80441
By what percent does a cube's volume decrease if its edge length is reduced by a quarter?
- Frustum of a cone
A reservoir contains 28.54 m³ of water when complete. The diameter of the upper base is 3.5 m, while the lower base is 2.5 m. Find the height if the reservoir is in the form of a frustum of a right circular cone.
- Leveling
Calculate how many we must purchase 25 kg bags of leveling concrete if we level room 19 m² to the "height" 11 mm if consumption is 1.7 kg per square meter and millimeter thickness.
- Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function
- The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste?
- Trapezoid 61394
Sestroj trapezoid ABCD, if a = 8cm, b = 5cm, alpha = 60 °, beta = 75 °
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume?
- Twenty percent
The students in the class agreed to make various decorative cone-shaped hats for the carnival. How much decorative material did a class of 25 students need to make the hats, if they had to count on about twenty percent waste when cutting and gluing? (The
- Cylindrical 6636
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa
- Cube-shaped 71414
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in
- Calculate 26433
Calculate how much cm² of paper needs to be bought to make a 60 mm cube if you need to add an extra 12% to the folds.
- Material 24841
The diameter of the ball screen is 30 cm. If we add 5% of the material to be sewn, how many m² of fabric do we need to make?
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