# Base of prism

The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm

^{2}.### Correct answer:

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

**algebra**- expression of a variable from the formula
**solid geometry**- surface area
- prism
**planimetrics**- Pythagorean theorem
- right triangle
- area of a shape
- triangle

#### Units of physical quantities:

#### Grade of the word problem:

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