Arectangular prism has a width of x inches, a length of x2 y inches, and a height of y2 inches. which expression represents the volume in cubic inches of this prism?

volume = x³y³ in³

volume of a rectangular prism = lwh

where

l = length

w = width

h = height

Therefore,

l = x²y

w = x

h = y²

volume = x²y × x × y²

volume = x³y³ in³

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check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.