# Body volume - examples - page 20 The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
2. Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
3. Prism diagonal The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism?
4. Regular prism The regular four-sided prism has a base of 25 cm2 and a surface of 210 cm2. Find its volume.
5. Body diagonal Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
6. Slant height The slant height of cone is 5cm and the radius of its base is 3cm, find the volume of the cone
7. Inscribed Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
8. Iron ball The iron ball has a weight of 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm3.
9. Prism 4 sides Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm
10. Cube diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
11. Perpendicular prism Calculate the volume of the perpendicular prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
12. 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
13. Triangular prism Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm and height of the prism is 0.12 dm.
14. Density of the concrete Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg.
15. Container The container-shaped box with internal dimensions of 3.9 m, 3.25 m and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have?
16. Rain It rains at night. On 1 m2 of lake will drop 60 liters of water. How many cm will the lake level rise?
17. Rectangular prism If i have a rectangular prism with a length of 1,000 cm, width of 30 cm and a height of 50 cm, what is the volume?
18. Seawater Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
19. Triangular pyramid What is the volume of a regular triangular pyramid with a side 3 cm long?
20. Height as diameter of base The rotary cylinder has a height equal to the base diameter and the surface of 471 cm2. Calculate the volume of a cylinder.

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