# Cuboid and ratio

A cuboid has a volume of 810 cm

^{3}. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid.## Correct answer:

Tips for related online calculators

Check out our ratio calculator.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Tip: Our volume units converter will help you convert volume units.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Tip: Our volume units converter will help you convert volume units.

### You need to know the following knowledge to solve this word math problem:

**algebra**- equation
- expression of a variable from the formula
**arithmetic**- cube root
- third power
**solid geometry**- cuboid
**basic functions**- ratio

### Units of physical quantities:

### Grade of the word problem:

## Related math problems and questions:

- Cuboid face diagonals

The lengths of the cuboid edges are in the ratio 1:2:3. Will the lengths of its diagonals be in the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid. - Cuboid - edges

The cuboid has dimensions in a ratio of 4:3:5. The shortest edge is 12 cm long. Find: The lengths of the remaining edges The surface of the cuboid The volume of the cuboid - Cuboid

The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7:5:3. Calculate the length of the edges. - 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.

- Ratio of edges

The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Cuboid edges

Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm. - Calculate 81935

The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid.