Geometry - math word problems - page 134 of 165
Number of problems found: 3289
- Square central symmetry
Draw a square KLMN, a point R that is a point of the square, and a point S that is not a point of this square. Draw the image of the square KLMN in central symmetry with the center : a) at point s b) at point M c) at point R - Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC. - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid. - Rectangle construction diagonal
Construct a rectangle ABCD if a = 8 cm and the length of the diagonal AC is 13 cm. Measure the length of the sides of the rectangle. - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Pool pump calculation
The pool for swimmers has dimensions of 25 m, 10 m, and 2.8 m, and the children's pool is only 10 m, 4 m, and 1 m. The pump will change all the water in the swimming pool in 9 hours. How long does it take for the same pump to pump out the water in the chi - Atmospheric pressure
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be? - Prism pyramid ratio
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D) - Surface area 2
Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%. - Drinking trough
A drinking trough for cattle is in the shape of a half-cylinder, 2 metres long with a diameter of 80 cm. How much sheet metal is needed to make it, given that an additional 12% of material is added for joints? - Stool cover fabric
Susan has an old stool shaped like a cube with an edge length of 80 cm. She wants to sew a new cover for it. How many square metres of fabric does she need, allowing an extra 15% for stitching and folds? - Roof material
A house has a pyramid-shaped roof on a square floor plan with base dimensions of 12 × 12 m and a height of 2 m at the apex. How much roofing material needs to be bought? Include a 10% reserve. - Tower room whitewash
The castle tower room has the shape of a cylinder with a diameter of 4.6 m and a height of 2.9 m. Calculate how much it will cost to whitewash the ceiling and walls of this room if €23 is paid for 1 square meter, while windows and doors account for 15℅ of - The bus stop
The bus stop waiting room has the shape of a regular quadrilateral pyramid 4 m high with a 5 m base edge. Calculate how much m² roofing is required to cover the sheathing of three walls, taking 40% of the additional coverage. - Metal sheet
The box has the shape of a cube with an edge length of 50 cm. How much m² of sheet metal is needed to beat a box if we add 20% on the folds of the lid and walls? - Cube volume function
Express the volume of a cube as a function of its edge size. - Block Volume Surface Ratios
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface. - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Sss triangle 2
Construct triangle ABC in which |AB|=5 cm, |AC|=6 cm and |BC|=9 cm - Tent fabric calculation
The children's tent with a beech wood floor has the shape of a regular four-sided pyramid with a base edge of 1.25 m and a height of 80 cm. How many m² of fabric do we need to finish the tent if we add 12% material to the folds?
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