Area of a shape + surface area - practice problems - page 7 of 26
Number of problems found: 509
- Dimensions 30111
The hall has dimensions of 60m, 28m, and a height of 3m. How many hours will it take to paint it if it takes 3 minutes to paint 1 square meter? The walls and ceiling are painted, and the windows take up 1/3 of the total area that needs to be painted. - Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²? - Company 6387
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? - Dimensions 2720
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 1kg is enough for 4 m²? (we do not paint the bottom of t
- Mystery of stereometrie
Two regular tetrahedrons have surfaces 76 cm² and 171 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Octagonal tank
The tank has the shape of a regular octagonal prism without an upper base. The base edge has a = 3m, and the side edge b = 6m. How much metal sheet is needed to build the tank? Do not think about losses or sheet thickness. - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism.
- Four-sided 27601
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. - Dimensions 26401
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. - Half-cylinder 25121
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - Quadrilateral 24161
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated? - Quadrilateral 8060
The volume of the cuboid is 864 mm³. Its square shape has the same content as the base of a quadrilateral prism with the dimensions of the base 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Determine the surface areas of both
- Cylindrical 7804
The garden children's pool has the shape of a cylinder with a base diameter of 3.2 m and a depth of 60 cm. The water reaches 10 cm below the top edge. How many m² of the surface of the cylindrical wall of the pool is above the water? Rounds to the whole m - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - 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. - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - 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 4m x 3m x 2.5m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir with
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