# Cuboid diagonal

Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c has dimensions in the ratio of 7:8:10. If you know that the diagonal wall AC is 56 cm, and the angle between AC and space diagonal AG is 25 degrees.

## Correct answer:

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

**solid geometry**- cuboid
- space diagonal
- surface area
**planimetrics**- right triangle
- area of a shape
- triangle
- diagonal
**basic functions**- ratio
**goniometry and trigonometry**- tangent

### Units of physical quantities:

### Grade of the word problem:

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