Final answer:
To find the height of a rectangular prism when only given the length, width, and volume, use the formula: Volume = Length x Width x Height. Plug in the given values and solve for the height. The height of the rectangular prism is approximately 1.9043 units.
Step-by-step explanation:
To find the height of a rectangular prism when only given the length, width, and volume, you can use the formula:
Volume = Length x Width x Height
In this case, the volume is 88, the length is 8, and the width is 4.6. Plug in these values and solve for the height:
88 = 8 x 4.6 x Height
Divide both sides of the equation by (8 x 4.6) to isolate the height:
Height = 88 / (8 x 4.6)
Calculate the height using a calculator:
Height = 1.9043
Therefore, the height of the rectangular prism is approximately 1.9043 units.