The height of the prism is h=(x+1)-(4/(x³+3x²+8)) as per the given volume and area of the rectangular prism.
<h3>What is meant by volume?</h3>
Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume.
If a rectangular prism's volume is the product of its base area and height, then the prism's height is given by:
h= (x+1)-(4/(x³+3x²+8)
Given,
Volume of rectangular prism =x⁴+4x³+3x²+8x+4
Base Area of a rectangular prism = x³+3x²+8
Volume = Base Area× Height
The volume of a prism is the amount of space it takes up. It features two identical faces as well as other faces that resemble a parallelogram.
Let h be the prism's height.
Substitute the value of the rectangular prism's base area and volume into the provided equation.
(x⁴+4x³+3x²+8x+4)= (x³+3x²+8)×h
(x⁴+4x³+3x²+8x+4)/(x³+3x²+8)=h
h=(((x+1)(x³+3x²+8)-4))/(x³+3x²+8)
h=(x+1)-(4/(x³+3x²+8))
If a rectangular prism's volume is the product of its base area and height, then the prism's height is given by:
h=(x+1)-(4/(x³+3x²+8))
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