Solid geometry, stereometry - page 39 of 123
Number of problems found: 2442
- Painter
If one liter of paint covers an area of 5 m2, how much paint is needed to cover: a) rectangular swimming pool With dimensions of 4 m x 3 m x 2.5 m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir wi - Cabinet painting
The cabinet has the shape of a cuboid, the dimensions of which are 80 cm and 55 cm, and a height of 1.8 m. The cabinet is painted twice on the outside. How much paint is used to paint the cabinet if 1 kg is enough for 4 m²? (we do not paint the bottom of - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - 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? - Spherical bowl
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Room wallpaper calculation
How many square meters of wallpaper will we need to cover the walls of a room with dimensions of 3 m and 4 m if the room height is 2.5 m? A door with dimensions of 90 cm and 2 m leads to the room. There is one window 1 m wide and 1.5 m high. - 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? - Poster rental
The poster area consists of a mantle with a diameter of 80 cm and a 1 m. The tenant pays CZK 20 per day for 1 square meter of space. How much does it cost to rent the whole area for July? - Pool whitewashing
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10 m and 18 m, and arms 7 m are 2 m deep. During spring cleaning, the bottom and walls of the pool must be whit - 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? - 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?
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