# Calculate 415

Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm

^{3}. The total surface area is 192 cm^{2}.### Correct answer:

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

**algebra**- integer equation
- system of equations
- expression of a variable from the formula
**arithmetic**- square root
**solid geometry**- cuboid
- space diagonal
**planimetrics**- Pythagorean theorem
- area of a shape

#### Units of physical quantities:

#### Grade of the word problem:

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