Solid geometry, stereometry - page 37 of 123
Number of problems found: 2442
- Office painting cost
Our office has dimensions of 5 m by 4.5 m and a height of 2.5 m. How much will it cost to paint it if a liter of paint costs €3.50 (yield 10 m²/l) and the painter asks €1.20 for the job and 1 m² painting? It will need to be painted twice. - Jared's room painting
Jared wants to paint his room. It is 12 feet by 15 feet and has walls 9 feet high. Two windows measure 6 feet by 5 feet each, and two doors measure 30 inches by 6 feet each. If a gallon of paint covers approximately 350 square feet, how many gallons will - Paint for Swimming Pool
The bottom of the pool at the family house has a rectangular shape with dimensions of 5 m and 3.5 m. Its height is 1.2 m. How many kg of acrylic paint are needed to paint the bottom and walls of the pool if 1 kg of paint is enough for 6 m²? The coating is - Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity? - Roof material calculation
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof. - Sheets into container
How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it? - Lump sugar
Cubed sugar in a 1 kg package is in a box with 20 cm, 12 cm, and 5 cm dimensions. a) How many sugar cubes with dimensions 2.5 cm, 2.5 cm, and 1 cm fit in the box? b) Calculate the mass of one cube. c) How many square meters of cardboard are needed to make - Painting a hut
It is necessary to paint the exterior walls of the hut, whose layout is a rectangle of 6.16 m x 8.78 m wall height is 2.85 meters. The cottage has five rectangular windows; three have dimensions of 1.15 m x 1.32 m and two 0.45 m x 0.96 m. How many m² is n - Juice box 2
The box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm, and 32 cm. Suppose the box stays at the smallest base juice level and reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below - Roof material
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve. - Wooden prism painting
The kit contains wooden prisms of various shapes. One is 4-sided with the base of a rectangular trapezoid (base measures 15 cm and 27 cm), arms 16 cm and 20 cm. The other was a 3-sided prism with base dimensions a=20 cm, b=18 cm, vb=30 cm. Both prisms had - Courtyard oak bricks
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard. - Wooden prism
Find the mass of a regular triangular prism made of oak, whose height equals the perimeter of its equilateral triangular base, and whose base is inscribed in a circle with radius 6.M cm (where M is the month of your birth). The density of oak is 680 kg/m³ - Barrel painting calculation
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8 m². - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; v1 = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; v2 = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2) - Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it? - Column covering
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter? - Pool filling
How many hours will a block-shaped pool measuring 24 m, 12 m, and 1.8 m be filled if it flows through a 9 cm diameter pipe at a speed of 2.5 m/s? - Water tank
A cuboid-shaped water tank has a base measuring 7.5 metres by 3 metres. How high will the water reach if 10 litres of water flow in per second and the inlet is open for 5/6 of an hour? (Round the result to one decimal place and express it in metres.) - Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join
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