# Cube + body volume - examples - page 4

1. Cube surface and volume Find the surface of the cube with a volume of 27 dm3.
2. How much How much money will we pay for 20 planks 4m long, 15cm wide and 26mm thick when 1m³ of wood costs 4500kč?
3. Bricks pyramid How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
4. Cube edges If the edge length of the cube increases by 50%, how does the volume of this cube increase?
5. Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
6. Body diagonal Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
7. Inscribed Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
8. Cube diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
9. 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?
10. 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.
11. Edges or sides Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
12. Cube cut In the ABCDA'B'C'D'cube, it is guided by the edge of the CC' a plane witch dividing the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine in which ratio the edge AB is divided by this plane.
13. Cube into cylinder If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
14. The cube The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?
15. Cube walls Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
16. The number The number of 1 cm cubes required to make 4 cm cube is?
17. Area to volume If the surface area of a cube is 486, find its volume.
18. The volume 2 The volume of a cube is 27 cubic meters. Find the height of the cube.
19. Calculate 3 Calculate the cube volume whose edge is 3x-1,3x-1,3x-1

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