Surface Area Calculation Problems for Solid Shapes. - page 17 of 53
Number of problems found: 1046
- 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 - 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. - How many How many m² of copper sheet is needed to replace the roof of a conical tower with a diameter of 13 meters and a height of 24 meters if we count 8% of the material for bending and waste?
- Block material calculation
How many square meters of material is needed to make two identical blocks with dimensions of 6 dm, 8 dm, and 12 dm if we count 8% of the material for folds? (Round to two decimal places. ) - 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. - 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? - The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste? - 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? - Cone cutout
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Kitchen tiles
We want to cover all the kitchen walls with square tiles with a side of 15 cm up to a height of 1.2 m. The kitchen has two doors, the frames of which are 90 cm wide. How many tiles will we buy if we expect a loss of 5% and the floor's dimensions are 3.2 m - Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - 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? - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane. - Milk cartons
Monica measured the dimensions of two different milk cartons. One had dimensions of 9*5.8*19.6 cm, the other 9.4*6.3*17.3 cm. She wanted to see if less material was used to make a particular box. Check it out and find out what percentage of material is sa - Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Pool painting cost
A square-shaped pool with bottom dimensions of 7 m * 4 m and a height of 1.2 m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m².
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