Question

The height of a right rectangular prism is 3 units greater than the length of the base. the edge length of the square base is x units. which expression represents the volume of the prism, in cubic units?

1. The expression x³+3x² is a cubic unit representation of the prism’s volume.

### What is right rectangular prism?

Having 6 faces, 12 edges, and 8 vertices, a right rectangular prism is a three-dimensional object. Angles between the base and sides are right angles in a right rectangular prism. Rectangles make up each of the six faces.
We have provided that to:
In a right rectangular prism, the height is three units more than the base’s length.
The square base has edges that are x units long.
How much volume does a rectangular prism have?
Volume of the rectangular prism = width × length × height
V =  W × L × H   ………………..(1)
We’ve indicated that the
bigger by three than the base’s length, h
and  the length of the base is x:
Hence,
H = X +3
Length of the base = X
Width = X
Adding the values l h and w to the formula (1) yields,
V = W × L × H
= X × X × (X+3)
= (X²) × (X+3)
= X³ + 3X³

Consequently, the phrase
X³ + 3X³
represents, in cubic units, the prism’s volume.
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