Solid geometry, stereometry - page 105 of 123
Number of problems found: 2442
- Metal sheet
Calculate how much sheet metal is needed to make a closed block-shaped container with dimensions of 2 m, 7 m, and 9 m if we must add 12% to the welds. - Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays. - The roof
The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues. - Diamond prism
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism. - Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm? - Asphalt barrel density
The barrel filled with asphalt has a diameter of 60 cm and a height of 100 cm. The weight of the asphalt in it is 390 kg. Determine the density of the asphalt. - Copper wire
What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm if the density of copper is 8.8 kg/dm³? - Pyramid Tent Canvas Area
The pyramid-shaped tent has a square base with a side size of 2.2 m and a height of 1.8 m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation? - Cuboid Dimensions Ratio Surface
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 2.8 m. Find: a) the surface of - Vintner
How high can a vintner fill the keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base of 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - Triangle greenhouse
A greenhouse has the shape of a prism lying on its side wall. The base consists of a trapezoid and a triangle. The lower base of the trapezoid has a length of 3 m, the upper base (and the side of the triangle) has a length of 2 m, the height of the trapez - Six-sided parasol
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6 dm and height v=25 cm. How much fabric is needed to make a parasol if we count 10% for joints and waste? - Box
The cardboard is a box-shaped quadrilateral prism with a rhombic base. Rhombus has a side 5 cm, one diagonal 8 cm long, and the box's height is 12 cm. The package will open at the top. How many cm² of cardboard do we need to cover overlap and joints that - 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. - 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? - Shot casting
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Brick wall
What is the weight of a solid brick wall that is 30 cm wide, 4 m long, and 2 m high? The density of the brick is 1500 kg per cubic meter. - The copper wire
The copper wire bundle with a diameter of 2.8 mm weighs 5 kg. How many meters of wire are bundled if 1 m³ of copper weighs 8930 kg? - The conical roof
The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed to produce this roof if the seams and waste required an increa
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