Solid geometry, stereometry - page 40 of 123
Number of problems found: 2441
- Pool water calculation
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)? - Garage painting calculation
How much paint does Peter use to paint a block-shaped sheet metal garage (without the lower base) with dimensions of 8 m, 5.5 m, and a height of 2.5 m, if 1 kg of paint is enough for a 4 m square area? - Wooden Planks Cost Calculation
Mr. Novák buys 40 "planks" 5 m long, 15 cm wide, and 5 cm thick. The price for 1 m³ of "planks" is CZK 4,950 How much do they pay for "boards"? - Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Tank dimensions
The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume. How many hectoliters of water are in it? How many m² of the tank is soaked with water? - Cabinet painting
The cabinet is shaped like a block, with dimensions 120 cm and 150 cm on the front side and 120 cm and 60 cm on the upper wall. It is painted twice on the outside. When 1 kg of paint is enough to paint 8 m2, how much paint is used to paint the - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7 m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400? - Dimensions - cardboard
The statements are sold in cardboard boxes – for example, the microwave oven box has dimensions of 52 cm, 32 cm, and 40 cm, and 0.4 m² of cardboard is added to the folds. How many square meters of cardboard are needed for 1,000 boxes? - Barrel paint calculation
How many kg of paint do you need to buy to paint a 1.5 m high cylinder-shaped rainwater cover with a 0.7 m radius? We paint the barrel from the outside and inside, and 100 grams of paint is needed to paint 1 square meter. - Cone hat paper
For his birthday, George made a cone-shaped hat out of paper. The side of this cone is 35 cm long, and the radius of its base is 20 cm. How much dm of paper did George use to make it? Thank you - Spruce wood
Calculate the weight of an edge made of spruce wood 6 m long when the cross-section of the edge is 146 cm square and if the density of the wood is 0.55 grams/cm cubic. - Gas tank capacity
The gas tank is a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? If 1 kg of paint is enough to paint about 6 square meters, how many kilograms of paint are needed to paint a gas tank? - Table leg painting
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted? - Rainwater tank
The garden tank for rainwater is cuboid in shape, the bottom of which is square, with a side 150 cm long and 80 cm high. How many 15-liter buckets do we need to drain the water from the tank? - Truncated pyramid
How many cubic metres is the volume of a regular quadrilateral truncated pyramid with base edges of one metre and 60 cm and a height of 250 mm? - Tinsmith
A tinsmith constructs a chimney pipe 186 cm long and 16 cm in diameter. The pipe is made from a flat sheet with an overlap of $x cm at the seam. What dimensions must the sheet have? - Cake dough
The kneaded cake dough has a volume of 1.8 l. When baking, it increases in volume by about two-thirds. Can it fit on a baking sheet measuring 36 × 30 × 8 cm? How tall will the cake be after baking? - Iron rod
What is the mass of a cylindrical iron rod with a length of a = 9 m and a diameter of d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms and round to the nearest whole number. - Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1 m*4 m*90 cm. - Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²?
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