# Area of shape + surface area - math problems

#### Number of problems found: 174

- A butter

A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm^{2}the package is larger than the surface of the cube. - The conical roof

The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed for the production of this roof, if the seams and waste requir - Cans

How many m^{2}of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm. - Martians

A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. In order not to attract attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal? - The roof

The roof of the tower has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long and the side wall of the animal with the base an angle of 57°. Calculate how much roofing we need to cover the entire roof, if we count on 15% waste - Cloth / textile

We have cloth measure 16 square meters. How many 20 cm by 20 cm by 8 cm bags you can make? Assume bag is a cuboid without one top base. - Triangular prism

The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Finf its volume and surface area. - Truncated pyramid

Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, height v = 8 cm. - What is

What is the height of a cylinder whose surface size is 602.88 cm^{2}and the content of its shell is 376.8 cm^{2}? - Pentagonal pyramid

The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Hexaprism container

Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm. - Iglu - cone tent

The cone-shaped tent is 3 m high, the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m^{2}of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste? b) - Cuboid edges

The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m^{2}. - Find the

Find the pressure exerted by a crawler tractor of mass 30 t standing on a horizontal road if the content of the contact surface of the belts with the ground is 6 m square. - Quadrilateral pyramid

Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Insulate house

The property owner wants to insulate his house. The house has these dimensions 12, and 12 m is 15 m high. The windows have 6 with dimensions 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Wooden bowls

20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm^{2}. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d - Diver

Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm^{2}. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface. - Surface of the cone

Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm^{3}. - Volume of the cone

Calculate the volume of the cone if the content of its base is 78.5 cm^{2}and the content of the shell is 219.8 cm^{2}.

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Examples of area of plane shapes. Examples for the calculation of the surface area of the solid object .