Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies.
Correct answer:

Tips for related online calculators
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
Do you know the volume and unit volume, and want to convert volume units?
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Mike chose
Mike chose 4 identical cubes, 3 identical prisms and 2 identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions the same as the cube, its third dimension is 2 times longer. The diameter of the base of the cylinder
- Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block?
- Volume 2887
The block volume is 512dm³. How long is the edge of a cube with the same volume as a block?
- Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
- Volumes 7252
The block and the cube have the same volumes of 512 cm3, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length?
- Calculate 5873
Calculate the surface area and volume of a large granite paving block with an edge length of 10 cm and a small cube with an edge length of 5 cm. Compare the results.
- Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of this cubes.
- Difference 64924
If we stack two cubes with an edge of 1dm, we get a block. What is the difference between the surfaces of this block and the cube?
- Cuboid and ratio
Find the dimensions of a cuboid having a volume of 810 cm³ if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5
- Calculate 2946
The surface of the block is 94 cm ^ 2. The lengths of its two edges are a = 3 cm, b = 5 cm. Calculate the length of its third edge. Let's say: From the formula for the block surface, first calculate c.
- Quadrangular 64564
The surface of the quadrangular block is 3.4 dm². The edges of the figure are 8cm and 10cm long. Calculate the volume of the prism.
- Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second are differ by 19272 cm². Calculate the edge length of both cubes.
- Prism
Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
- Cube containers
Two containers shaped of cube with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube?
- Dimensions 5996
How many cubes with an edge of 10 cm will fit into a block with dimensions of 2 dm, 3 dm, and 5 dm?
- Calculate 21743
Calculate the volume of the block in liters with edge lengths of 3dm, 15cm, and 120mm.
- Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the edge of its base. Find the sum of the lengths of all edges of a block.