# Problems for the calculation of the surface area of the solid object

- Basen

How many square meters of tiles we need to tile the walls and floor of the pool 15 meters long, six meters wide and two meters?deep - Quadrangular pyramid

Given is a regular quadrangular pyramid with a square base. The body height is 30 cm and volume V = 1000 cm³. Calculate its side a and its surface area. - Surface area 6

Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch - The room

The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (floor is not painted) if the window and door area is 15% of the total area and 1m2 cost 15 euro. - Body diagonal - cube

Calculate the surface and cube volume with body diagonal 15 cm long. - Axial section

Axial section of the cone is equilateral triangle with area 208 dm^{2.}Calculate volume of the cone. - Cuboid

The cuboid has a surface area 1771 cm^{2,}the length of its edges are in the ratio 5:2:4. Calculate the volume of the cuboid. - Tetrahedral pyramid

What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=21 and height v=7? - Cone A2V

Surface of cone in the plane is a circular arc with central angle of 126° and area 415 dm^{2.}Calculate the volume of a cone. - Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm^{2.} - Tereza

The cube has area of base 225 mm^{2.}Calculate the edge length, volume and area of its surface. - Sphere

Surface of the sphere is 2820 cm^{2,}weight is 71 kg. What is its density? - Gutter

How much metal is needed for production 46 pieces of gutter pipes with the diameter 12 cm and length of 4 m? The plate bends add 2% of the material. - Cuboid diagonal

Calculate the volume and surface area of the cuboid ABCDEFGH, which sides abc has dimensions in the ratio of 9:3:8 and if you know that the wall diagonal AC is 86 cm and angle between AC and the body diagonal AG is 25 degrees. - Prism

Right angle prism, whose base is right triangle with leg a = 7 cm and hypotenuse c = 15 cm has same volume as a cube with an edge length of 3 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Cone

Calculate volume and surface area of the cone with diameter of the base d = 19 cm and side of cone with the base has angle 48°36'. - Present

Gift box has rectangular shape with dimensions of 10×10×9 cm. Warren wants to cover with square paper with sides of 29 cm. How much paper left him? - Cube zoom

How many percent we increase volume and surface of cube, if we magnify its edge by 38%. - Rotation

Right triangle with legs 14 cm and 20 cm rotate around longer leg. Calculate the volume and surface area of the formed cone. - Tower

The top of the tower is a regular hexagonal pyramid with base edge 12.6 meters long and a height 8.5 meters. How many m^{2}of sheet is required to cover the top of the tower if we count 10% of the sheet waste?

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