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 2 cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm².

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

algebra

rearrange variables

solid geometry

surface area
prism

planimetry

Pythagorean theorem
right triangle
area of a shape
triangle

Units of physical quantities

volume
area

Grade of the word problem

practice for 14 year olds
high school

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