# Cube + body volume - examples - page 3

1. Cube-shaped box
Design the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to make full use of the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?
2. Aquarium
Aquarium is cube with edge 45 cm. How much water can fit in there?
3. CuZn
Brass is an alloy of copper and zinc. The 10 centimeter brass cube has a weight of 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m3. Calculate how many kg of copper and zinc a cube contains.
4. Cube
One cube has edge increased 5 times. How many times will larger its surface area and volume?
5. Inscribed sphere
How many % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube?
6. Rainfall
The annual average rainfall in India was in Cherrapunji in the year 1981 26 461 mm. How many hectoliters of water fell on 1 m2? Would fit this amount of water into a cube of three meters?
7. Cremons
The freight wagon is shaped like cuboid 21m and 3.5m and 4.2m How many cremons can be loaded if one is a cube with an edge length of 7 cm?
8. Cube walls
Find the volume and surface area of the cube if the area of one wall is 40cm2.
9. Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
10. Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm3. What is its surface in dm2?
11. Volume and area
What is the volume of a cube which has area of 361 cm2?
12. Surface of cubes
Peter molded a cuboid 2 cm, 4cm, 9cm of plasticine. Then the plasticine split into two parts in a ratio 1:8. From each part made a cube. In what ratio are the surfaces of these cubes?
13. Cubes into cuboid
How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8?
14. Inscribed sphere
How many percents of the cube volume takes the sphere inscribed into it?
15. Water block
A block with a 50 cm2 base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water?
16. Volume of cube
Solve the volume of a cube with width 26cm .
17. Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. In what ratio are the volumes of cube, cuboid, and sphere?
18. Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent was the waste.
19. Minimum surface
Find the length, breadth, and height of the cuboid shaped box with a minimum surface area, into which 50 cuboid shaped blocks, each with length, breadth and height equal to 4 cm, 3 cm and 2 cm respectively can be packed.
20. Body diagonal
Calculate the volume and surface of the cube if the body diagonal measures 10 dm.

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