Answer :
To find the height of the rectangular prism with a volume of 120[tex]x^2y^3[/tex], length of 8x, and width of 3y, use the formula Height = Volume / (Length × Width). Simplifying the given values, the height is 5x[tex]y^2[/tex].
To find the height of the rectangular prism, we use the formula for the volume of a rectangular prism, which is:
Volume = Length × Width × Height.
Given:
- Volume = 120x2y3
- Length = 8x
- Width = 3y
Rearranging the formula to solve for height, we get:
Height = Volume / (Length × Width)
Substitute the given values into the formula:
Height = 120x2y3 / (8x × 3y)
Simplify the expression:
Height = 120x2y3 / 24xy = 5xy2
Therefore, the height of the rectangular prism is 5xy2.
